Number

2,010

2,010 is a composite number, even, a calendar year.

2,010 (two thousand ten) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 67. Its proper divisors sum to 2,886, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMX and in binary, 11111011010.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Squarefree Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

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 2,013 2,014 2,015 2,016 2,017 2,018 2,019 2,020 2,021 2,022

less more

Notable events — 2010 AD

Jan 4 The Burj Khalifa opens in Dubai as the world's tallest building.
Jan 12 A magnitude 7.0 earthquake devastates Haiti, killing over 100,000.
Feb 12 The Winter Olympics open in Vancouver.
Apr 3 Apple releases the first iPad.
Apr 20 The Deepwater Horizon platform explodes, beginning the largest marine oil spill in US history.

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

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Friday
January 1, 2010
Ended on: Friday
December 31, 2010
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: April 4
Sunday, April 4, 2010
Decade: 2010s
2010–2019
Century: 21st century
2001–2100
Millennium: 3rd millennium
2001–3000
Years ago: 16
16 years before 2026.
FIFA World Cup: Yes
Men's FIFA World Cup is held every four years (skipped 1942 and 1946 due to WWII).
Winter Olympics: Yes
Held in even years between Summer Games (2002, 2006, ...).

In other calendars

Hebrew: 5770 / 5771 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1431 / 1432 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Tiger
Sexagenary cycle position 27 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2553 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1388 / 1389 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 2002 / 2003 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1932 / 1931 Saka
Indian national calendar; year starts in March.
Japanese: Heisei 22
Reign-era counting from the start of each emperor's reign.

Properties

Parity: Even
Digit count: 4
Digit sum: 3
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 11 bits
Reversed: 102
Recamán's sequence: a(3,731) = 2,010
Square (n²): 4,040,100
Cube (n³): 8,120,601,000
Divisor count: 16
σ(n) — sum of divisors: 4,896
φ(n) — Euler's totient: 528
Sum of prime factors: 77

Primality

Prime factorization: 2 × 3 × 5 × 67

Nearest primes: 2,003 (−7) · 2,011 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 67 · 134 · 201 · 335 · 402 · 670 · 1005 (half) · 2010

Aliquot sum (sum of proper divisors): 2,886

Factor pairs (a × b = 2,010)

1 × 2010

2 × 1005

3 × 670

5 × 402

6 × 335

10 × 201

15 × 134

30 × 67

First multiples

2,010 · 4,020 (double) · 6,030 · 8,040 · 10,050 · 12,060 · 14,070 · 16,080 · 18,090 · 20,100

Sums & aliquot sequence

As consecutive integers: 669 + 670 + 671 501 + 502 + 503 + 504 400 + 401 + 402 + 403 + 404 162 + 163 + … + 173

Aliquot sequence: 2,010 → 2,886 → 3,498 → 4,278 → 4,938 → 4,950 → 9,558 → 12,222 → 18,354 → 27,726 → 27,738 → 35,910 → 79,290 → 127,098 → 161,190 → 274,410 → 439,290 — unresolved within range

Continued fraction of √n

√2,010 = [44; (1, 4, 1, 88)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: two thousand ten
Ordinal: 2010th
Roman numeral: MMX
Binary: 11111011010
Octal: 3732
Hexadecimal: 0x7DA
Base64: B9o=
One's complement: 63,525 (16-bit)
Scientific notation: 2.01 × 10³
As a duration: 2,010 s = 33 minutes, 30 seconds

In other bases

ternary (3) 2202110

quaternary (4) 133122

quinary (5) 31020

senary (6) 13150

septenary (7) 5601

nonary (9) 2673

undecimal (11) 1568

duodecimal (12) 11b6

tridecimal (13) bb8

tetradecimal (14) a38

pentadecimal (15) 8e0

As an angle

2,010° = 5 × 360° + 210°

210° ≈ 3.665 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓎆
Greek (Milesian): ͵βιʹ
Mayan (base 20): 𝋥·𝋠·𝋪
Chinese: 二千零一十
Chinese (financial): 貳仟零壹拾

In other modern scripts

Eastern Arabic ٢٠١٠ Devanagari २०१० Bengali ২০১০ Tamil ௨௦௧௦ Thai ๒๐๑๐ Tibetan ༢༠༡༠ Khmer ២០១០ Lao ໒໐໑໐ Burmese ၂၀၁၀

Digit at this position in famous constants

π — Pi (π): Digit 2,010 = 7
e — Euler's number (e): Digit 2,010 = 3
φ — Golden ratio (φ): Digit 2,010 = 0
√2 — Pythagoras's (√2): Digit 2,010 = 8
ln 2 — Natural log of 2: Digit 2,010 = 9
γ — Euler-Mascheroni (γ): Digit 2,010 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2010, here are decompositions:

7 + 2003 = 2010
11 + 1999 = 2010
13 + 1997 = 2010
17 + 1993 = 2010
23 + 1987 = 2010
31 + 1979 = 2010
37 + 1973 = 2010
59 + 1951 = 2010

Showing the first eight; more decompositions exist.

Unicode codepoint

Nko Letter Rra

U+07DA

Other letter (Lo)

UTF-8 encoding: DF 9A (2 bytes).

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

Hex color

#0007DA

RGB(0, 7, 218)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.218.

Address: 0.0.7.218
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.7.218

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

Musical pitch

Heard as a frequency, 2,010 Hz is closest to:

Concert pitch (A4 = 440 Hz): B6 (1975.5 Hz, +30¢)
Scientific pitch (C4 = 256 Hz): C7 (2048 Hz, -32¢)
Baroque pitch (A4 = 415 Hz): C7 (1974.1 Hz, +31¢)

Position in π

The digit sequence 2010 first appears in π at position 1,009 of the decimal expansion (the 1,009ordinal-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 2010 on Pi Search ↗