2564378760 has 64 divisors (see below), whose sum is σ = 7697234880. Its totient is φ = 683470080.

The previous prime is 2564378759. The next prime is 2564378777. The reversal of 2564378760 is 678734652.

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, 280014 + ... + 289026.

It is an arithmetic number, because the mean of its divisors is an integer number (120269295).

Almost surely, 2^2564378760 is an apocalyptic number.

2564378760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564378760 is an abundant number, since it is smaller than the sum of its proper divisors (5132856120).

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

2564378760 is a wasteful number, since it uses less digits than its factorization.

2564378760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11398 (or 11394 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The square root of 2564378760 is about 50639.6954967148. The cubic root of 2564378760 is about 1368.7602687247.

The spelling of 2564378760 in words is "two billion, five hundred sixty-four million, three hundred seventy-eight thousand, seven hundred sixty".