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2072522640 = 243523375457
BaseRepresentation
bin111101110001000…
…0010111110010000
312100102211001120210
41323202002332100
513221031211030
6541353204120
7102234103026
oct17342027620
95312731523
102072522640
11973980a31
1249a100640
132704ba176
14159376716
15c1e3abb0
hex7b882f90

2072522640 has 80 divisors (see below), whose sum is σ = 6704178048. Its totient is φ = 528642048.

The previous prime is 2072522609. The next prime is 2072522659. The reversal of 2072522640 is 462252702.

2072522640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2072522598 and 2072522607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182209 + ... + 193248.

Almost surely, 22072522640 is an apocalyptic number.

2072522640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2072522640 is an abundant number, since it is smaller than the sum of its proper divisors (4631655408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2072522640 is a wasteful number, since it uses less digits than its factorization.

2072522640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375496 (or 375490 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2072522640 is about 45524.9672158037. The cubic root of 2072522640 is about 1274.9693987273.

It can be divided in two parts, 20725 and 22640, that added together give a triangular number (43365 = T294).

The spelling of 2072522640 in words is "two billion, seventy-two million, five hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 375457 750914 1126371 1501828 1877285 2252742 3003656 3754570 4505484 5631855 6007312 7509140 8635511 9010968 11263710 15018280 17271022 18021936 22527420 25906533 30036560 34542044 43177555 45054840 51813066 69084088 86355110 90109680 103626132 129532665 138168176 172710220 207252264 259065330 345420440 414504528 518130660 690840880 1036261320 2072522640