2564672616 has 48 divisors (see below), whose sum is σ = 7577444160. Its totient is φ = 777173280.

The previous prime is 2564672609. The next prime is 2564672629. The reversal of 2564672616 is 6162764652.

2564672616 is a `hidden beast` number, since 2 + 564 + 6 + 72 + 6 + 16 = 666.

2564672616 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 1618320 + ... + 1619903.

It is an arithmetic number, because the mean of its divisors is an integer number (157863420).

Almost surely, 2^2564672616 is an apocalyptic number.

It is an amenable number.

2564672616 is an abundant number, since it is smaller than the sum of its proper divisors (5012771544).

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

2564672616 is a wasteful number, since it uses less digits than its factorization.

2564672616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238246 (or 3238239 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 2564672616 is about 50642.5968528471. The cubic root of 2564672616 is about 1368.8125494903.

The spelling of 2564672616 in words is "two billion, five hundred sixty-four million, six hundred seventy-two thousand, six hundred sixteen".