2564515300400 has 120 divisors (see below), whose sum is σ = 6587012805984. Its totient is φ = 956090880000.

The previous prime is 2564515300397. The next prime is 2564515300421. The reversal of 2564515300400 is 40035154652.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1130351 + ... + 2531150.

Almost surely, 2^{2564515300400} is an apocalyptic number.

2564515300400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564515300400 is an abundant number, since it is smaller than the sum of its proper divisors (4022497505584).

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

2564515300400 is a wasteful number, since it uses less digits than its factorization.

2564515300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3661639 (or 3661628 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 2564515300400 in words is "two trillion, five hundred sixty-four billion, five hundred fifteen million, three hundred thousand, four hundred".