2262156251904 has 432 divisors, whose sum is σ = 7019946565632. Its totient is φ = 698856947712.

The previous prime is 2262156251903. The next prime is 2262156251921. The reversal of 2262156251904 is 4091526512622.

2262156251904 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 1 + 5 + 625 + 19 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2262156251904.

It is not an unprimeable number, because it can be changed into a prime (2262156251903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289385404 + ... + 289393220.

Almost surely, 2^{2262156251904} is an apocalyptic number.

2262156251904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262156251904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509973282816).

2262156251904 is an abundant number, since it is smaller than the sum of its proper divisors (4757790313728).

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

2262156251904 is a wasteful number, since it uses less digits than its factorization.

2262156251904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8032 (or 8015 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 2262156251904 in words is "two trillion, two hundred sixty-two billion, one hundred fifty-six million, two hundred fifty-one thousand, nine hundred four".