number.wiki
Number

2,000

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

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

Notable events — 2000 AD

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

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)
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

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
ߐ
Nko Letter O
U+07D0
Other letter (Lo)

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

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.

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.