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Number

2,040

2,040 is a composite number, even, a calendar year.

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

Historical context — 2040 AD

Current millennium spanning the years 2001 to 3000

The third millennium of the Anno Domini or Common Era is the current millennium spanning the years 2001 to 3000.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Sunday
January 1, 2040
Ended on
Monday
December 31, 2040
Friday the 13ths
3
3 Friday the 13ths this year.
Easter Sunday
April 1
Sunday, April 1, 2040
Decade
2040s
2040–2049
Century
21st century
2001–2100
Millennium
3rd millennium
2001–3000
Years until
14
14 years after 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
5800 / 5801 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1461 / 1462 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Monkey
Sexagenary cycle position 57 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2583 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1418 / 1419 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
2032 / 2033 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1962 / 1961 Saka
Indian national calendar; year starts in March.
Japanese
Reiwa 22
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Even
Digit count
4
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
11 bits
Reversed
402
Recamán's sequence
a(3,671) = 2,040
Square (n²)
4,161,600
Cube (n³)
8,489,664,000
Divisor count
32
σ(n) — sum of divisors
6,480
φ(n) — Euler's totient
512
Sum of prime factors
31

Primality

Prime factorization: 2 3 × 3 × 5 × 17

Nearest primes: 2,039 (−1) · 2,053 (+13)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 17 · 20 · 24 · 30 · 34 · 40 · 51 · 60 · 68 · 85 · 102 · 120 · 136 · 170 · 204 · 255 · 340 · 408 · 510 · 680 · 1020 (half) · 2040
Aliquot sum (sum of proper divisors): 4,440
Factor pairs (a × b = 2,040)
1 × 2040
2 × 1020
3 × 680
4 × 510
5 × 408
6 × 340
8 × 255
10 × 204
12 × 170
15 × 136
17 × 120
20 × 102
24 × 85
30 × 68
34 × 60
40 × 51
First multiples
2,040 · 4,080 (double) · 6,120 · 8,160 · 10,200 · 12,240 · 14,280 · 16,320 · 18,360 · 20,400

Sums & aliquot sequence

As consecutive integers: 679 + 680 + 681 406 + 407 + 408 + 409 + 410 129 + 130 + … + 143 120 + 121 + … + 135
Aliquot sequence: 2,040 4,440 9,240 25,320 51,000 117,480 271,320 765,480 1,531,320 3,721,800 7,817,640 15,635,640 32,899,560 65,799,480 139,098,120 349,027,320 699,333,000 — unresolved within range

Representations

In words
two thousand forty
Ordinal
2040th
Roman numeral
MMXL
Binary
11111111000
Octal
3770
Hexadecimal
0x7F8
Base64
B/g=
One's complement
63,495 (16-bit)
In other bases
ternary (3) 2210120
quaternary (4) 133320
quinary (5) 31130
senary (6) 13240
septenary (7) 5643
nonary (9) 2716
undecimal (11) 1595
duodecimal (12) 1220
tridecimal (13) c0c
tetradecimal (14) a5a
pentadecimal (15) 910

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵βμʹ
Mayan (base 20)
𝋥·𝋢·𝋠
Chinese
二千零四十
Chinese (financial)
貳仟零肆拾
In other modern scripts
Eastern Arabic ٢٠٤٠ Devanagari २०४० Bengali ২০৪০ Tamil ௨௦௪௦ Thai ๒๐๔๐ Tibetan ༢༠༤༠ Khmer ២០៤០ Lao ໒໐໔໐ Burmese ၂၀၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 2,040 = 2
e — Euler's number (e)
Digit 2,040 = 9
φ — Golden ratio (φ)
Digit 2,040 = 5
√2 — Pythagoras's (√2)
Digit 2,040 = 3
ln 2 — Natural log of 2
Digit 2,040 = 9
γ — Euler-Mascheroni (γ)
Digit 2,040 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2040, here are decompositions:

  • 11 + 2029 = 2040
  • 13 + 2027 = 2040
  • 23 + 2017 = 2040
  • 29 + 2011 = 2040
  • 37 + 2003 = 2040
  • 41 + 1999 = 2040
  • 43 + 1997 = 2040
  • 47 + 1993 = 2040

Showing the first eight; more decompositions exist.

Unicode codepoint
߸
Nko Comma
U+07F8
Other punctuation (Po)

UTF-8 encoding: DF B8 (2 bytes).

Hex color
#0007F8
RGB(0, 7, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.248.

Address
0.0.7.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.7.248

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000002040
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 2040 first appears in π at position 17,677 of the decimal expansion (the 17,677ordinal-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.