2687023725264 has 80 divisors (see below), whose sum is σ = 7713579216000. Its totient is φ = 895578660864.

The previous prime is 2687023725259. The next prime is 2687023725277. The reversal of 2687023725264 is 4625273207862.

2687023725264 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 0 + 2 + 372 + 5 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2687023725264.

It is a congruent number.

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, 3764037 + ... + 4420635.

It is an arithmetic number, because the mean of its divisors is an integer number (96419740200).

Almost surely, 2^{2687023725264} is an apocalyptic number.

2687023725264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2687023725264 is an abundant number, since it is smaller than the sum of its proper divisors (5026555490736).

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

2687023725264 is a wasteful number, since it uses less digits than its factorization.

2687023725264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666089 (or 666077 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 2687023725264 in words is "two trillion, six hundred eighty-seven billion, twenty-three million, seven hundred twenty-five thousand, two hundred sixty-four".