2585226722256 has 60 divisors (see below), whose sum is σ = 7238541943620. Its totient is φ = 861325639680.

The previous prime is 2585226722203. The next prime is 2585226722317. The reversal of 2585226722256 is 6522276225852.

2585226722256 is a `hidden beast` number, since 2 + 5 + 8 + 522 + 67 + 2 + 2 + 2 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1752234638400 + 832992083856 = 1323720^2 + 912684^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4040625 + ... + 4636496.

It is an arithmetic number, because the mean of its divisors is an integer number (120642365727).

Almost surely, 2^{2585226722256} is an apocalyptic number.

It is an amenable number.

2585226722256 is an abundant number, since it is smaller than the sum of its proper divisors (4653315221364).

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

2585226722256 is a wasteful number, since it uses less digits than its factorization.

2585226722256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8679204 (or 8679195 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 54.

The spelling of 2585226722256 in words is "two trillion, five hundred eighty-five billion, two hundred twenty-six million, seven hundred twenty-two thousand, two hundred fifty-six".