Number

2,000

2,000 is a composite number, even, a calendar year.

2,000 (two thousand) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5³. Its proper divisors sum to 2,836, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MM and in binary, 11111010000.

Abundant Number Achilles Number Evil Number Gapful Number Harshad / Niven Powerful Number Practical Number Preferred Number Recamán's Sequence Refactorable Number Semiperfect Number Year

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

1,988 1,989 1,990 1,991 1,992 1,993 1,994 1,995 1,996 1,997 1,998 1,999 2,000 2,001 2,002 2,003 2,004 2,005 2,006 2,007 2,008 2,009 2,010 2,011 2,012

less more

Notable events — 2000 AD

Mar 4 Sony releases the PlayStation 2 in Japan.
Mar 10 The NASDAQ Composite peaks at 5,048, marking the top of the dot-com bubble.
Mar 26 Vladimir Putin is elected President of Russia for the first time.
May 5 The ILOVEYOU computer virus spreads worldwide from the Philippines.
Jun 26 The Human Genome Project announces a first draft of the human genome.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Year facts

Year type: Leap year
Divisible by 400 (Gregorian leap-year rule exception to the century rule).
Days in year: 366
ISO weeks: 52
Started on: Saturday
January 1, 2000
Ended on: Sunday
December 31, 2000
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: April 23
Sunday, April 23, 2000
Decade: 2000s
2000–2009
Century: 20th century
1901–2000
Millennium: 2nd millennium
1001–2000
Years ago: 26
26 years before 2026.
US presidential election: Yes
US holds a presidential election in years divisible by 4 starting from 1788.
Summer Olympics: Yes

In other calendars

Hebrew: 5760 / 5761 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1420 / 1421 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Dragon
Sexagenary cycle position 17 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2543 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1378 / 1379 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1992 / 1993 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1922 / 1921 Saka
Indian national calendar; year starts in March.
Japanese: Heisei 12
Reign-era counting from the start of each emperor's reign.

Properties

Parity: Even
Digit count: 4
Digit sum: 2
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 11 bits
Reversed: 2
Recamán's sequence: a(3,751) = 2,000
Square (n²): 4,000,000
Cube (n³): 8,000,000,000
Divisor count: 20
σ(n) — sum of divisors: 4,836
φ(n) — Euler's totient: 800
Sum of prime factors: 23

Primality

Prime factorization: 2 ⁴ × 5 ³

Nearest primes: 1,999 (−1) · 2,003 (+3)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 50 · 80 · 100 · 125 · 200 · 250 · 400 · 500 · 1000 (half) · 2000

Aliquot sum (sum of proper divisors): 2,836

Factor pairs (a × b = 2,000)

1 × 2000

2 × 1000

4 × 500

5 × 400

8 × 250

10 × 200

16 × 125

20 × 100

25 × 80

40 × 50

First multiples

2,000 · 4,000 (double) · 6,000 · 8,000 · 10,000 · 12,000 · 14,000 · 16,000 · 18,000 · 20,000

Sums & aliquot sequence

As a sum of two squares: 8² + 44² = 20² + 40²

As a sum of two cubes: 10³ + 10³

As consecutive integers: 398 + 399 + 400 + 401 + 402 68 + 69 + … + 92 47 + 48 + … + 78

Aliquot sequence: 2,000 → 2,836 → 2,134 → 1,394 → 874 → 566 → 286 → 218 → 112 → 136 → 134 → 70 → 74 → 40 → 50 → 43 → 1 — unresolved within range

Continued fraction of √n

√2,000 = [44; (1, 2, 1, 1, 2, 3, 5, 3, 2, 1, 1, 2, 1, 88)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: two thousand
Ordinal: 2000th
Roman numeral: MM
Binary: 11111010000
Octal: 3720
Hexadecimal: 0x7D0
Base64: B9A=
One's complement: 63,535 (16-bit)
Scientific notation: 2 × 10³
As a duration: 2,000 s = 33 minutes, 20 seconds

In other bases

ternary (3) 2202002

quaternary (4) 133100

quinary (5) 31000

senary (6) 13132

septenary (7) 5555

nonary (9) 2662

undecimal (11) 1559

duodecimal (12) 11a8

tridecimal (13) bab

tetradecimal (14) a2c

pentadecimal (15) 8d5

Palindromic in base 7, base 9, base 13

As an angle

2,000° = 5 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼
Greek (Milesian): ͵β
Mayan (base 20): 𝋥·𝋠·𝋠
Chinese: 二千
Chinese (financial): 貳仟

In other modern scripts

Eastern Arabic ٢٠٠٠ Devanagari २००० Bengali ২০০০ Tamil ௨௦௦௦ Thai ๒๐๐๐ Tibetan ༢༠༠༠ Khmer ២០០០ Lao ໒໐໐໐ Burmese ၂၀၀၀

Digit at this position in famous constants

π — Pi (π): Digit 2,000 = 0
e — Euler's number (e): Digit 2,000 = 3
φ — Golden ratio (φ): Digit 2,000 = 1
√2 — Pythagoras's (√2): Digit 2,000 = 0
ln 2 — Natural log of 2: Digit 2,000 = 9
γ — Euler-Mascheroni (γ): Digit 2,000 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2000, here are decompositions:

3 + 1997 = 2000
7 + 1993 = 2000
13 + 1987 = 2000
67 + 1933 = 2000
127 + 1873 = 2000
139 + 1861 = 2000
199 + 1801 = 2000
211 + 1789 = 2000

Showing the first eight; more decompositions exist.

Unicode codepoint

Nko Letter O

U+07D0

Other letter (Lo)

UTF-8 encoding: DF 90 (2 bytes).

Lookup U+07D0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0007D0

RGB(0, 7, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.208.

Address: 0.0.7.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.7.208

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 2,000 Hz is closest to:

Concert pitch (A4 = 440 Hz): B6 (1975.5 Hz, +21¢)
Scientific pitch (C4 = 256 Hz): C7 (2048 Hz, -41¢)
Baroque pitch (A4 = 415 Hz): C7 (1974.1 Hz, +23¢)

Position in π

The digit sequence 2000 first appears in π at position 600 of the decimal expansion (the 600ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 2000 on Pi Search ↗