2638205956512 has 432 divisors, whose sum is σ = 9038055866112. Its totient is φ = 727089592320.

The previous prime is 2638205956429. The next prime is 2638205956513. The reversal of 2638205956512 is 2156595028362.

2638205956512 is a `hidden beast` number, since 2 + 6 + 3 + 8 + 20 + 59 + 56 + 512 = 666.

It is a super-2 number, since 2×2638205956512² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2638205956513) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136919103 + ... + 136938369.

It is an arithmetic number, because the mean of its divisors is an integer number (20921425616).

Almost surely, 2^{2638205956512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2638205956512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519027933056).

2638205956512 is an abundant number, since it is smaller than the sum of its proper divisors (6399849909600).

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

2638205956512 is a wasteful number, since it uses less digits than its factorization.

2638205956512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19641 (or 19623 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 2638205956512 in words is "two trillion, six hundred thirty-eight billion, two hundred five million, nine hundred fifty-six thousand, five hundred twelve".