2564380368 has 120 divisors (see below), whose sum is σ = 8289755136. Its totient is φ = 731366400.

The previous prime is 2564380339. The next prime is 2564380393. The reversal of 2564380368 is 8630834652.

It is a happy number.

2564380368 is a `hidden beast` number, since 2 + 564 + 3 + 80 + 3 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20688 + ... + 74543.

Almost surely, 2^2564380368 is an apocalyptic number.

It is an amenable number.

2564380368 is an abundant number, since it is smaller than the sum of its proper divisors (5725374768).

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

2564380368 is a wasteful number, since it uses less digits than its factorization.

2564380368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95273 (or 95264 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2564380368 is about 50639.7113735851. The cubic root of 2564380368 is about 1368.7605548195.

The spelling of 2564380368 in words is "two billion, five hundred sixty-four million, three hundred eighty thousand, three hundred sixty-eight".