2564412768 has 72 divisors (see below), whose sum is σ = 7303023000. Its totient is φ = 853576704.

The previous prime is 2564412727. The next prime is 2564412779. The reversal of 2564412768 is 8672144652.

2564412768 is a `hidden beast` number, since 2 + 564 + 4 + 1 + 27 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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, 206808 + ... + 218856.

It is an arithmetic number, because the mean of its divisors is an integer number (101430875).

Almost surely, 2^2564412768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564412768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651511500).

2564412768 is an abundant number, since it is smaller than the sum of its proper divisors (4738610232).

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

2564412768 is a wasteful number, since it uses less digits than its factorization.

2564412768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12804 (or 12793 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2564412768 is about 50640.0312796112. The cubic root of 2564412768 is about 1368.7663193901.

The spelling of 2564412768 in words is "two billion, five hundred sixty-four million, four hundred twelve thousand, seven hundred sixty-eight".