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2121626040 = 233553333589
BaseRepresentation
bin111111001110101…
…0111000110111000
312110212012202210020
41332131113012320
513321114013130
6550305450440
7103401344442
oct17635270670
95425182706
102121626040
1199966a056
124b2640a20
1327a720431
14161ab9492
15c63d9e10
hex7e7571b8

2121626040 has 64 divisors (see below), whose sum is σ = 6484989600. Its totient is φ = 555090432.

The previous prime is 2121626021. The next prime is 2121626069. The reversal of 2121626040 is 406261212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2121626040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160435 + ... + 173154.

Almost surely, 22121626040 is an apocalyptic number.

2121626040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121626040 is an abundant number, since it is smaller than the sum of its proper divisors (4363363560).

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

2121626040 is a wasteful number, since it uses less digits than its factorization.

2121626040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333656 (or 333652 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2121626040 is about 46061.1120143663. The cubic root of 2121626040 is about 1284.9600112715.

Adding to 2121626040 its reverse (406261212), we get a palindrome (2527887252).

The spelling of 2121626040 in words is "two billion, one hundred twenty-one million, six hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 333589 667178 1000767 1334356 1667945 2001534 2668712 3335890 4003068 5003835 6671780 8006136 10007670 13343560 17680217 20015340 35360434 40030680 53040651 70720868 88401085 106081302 141441736 176802170 212162604 265203255 353604340 424325208 530406510 707208680 1060813020 2121626040