2564389968 has 160 divisors (see below), whose sum is σ = 8085006336. Its totient is φ = 684440064.

The previous prime is 2564389963. The next prime is 2564389981. The reversal of 2564389968 is 8699834652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564389963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328446 + ... + 336162.

Almost surely, 2^2564389968 is an apocalyptic number.

2564389968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564389968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042503168).

2564389968 is an abundant number, since it is smaller than the sum of its proper divisors (5520616368).

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

2564389968 is a wasteful number, since it uses less digits than its factorization.

2564389968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7801 (or 7795 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 60.

The square root of 2564389968 is about 50639.8061607665. The cubic root of 2564389968 is about 1368.7622628455.

The spelling of 2564389968 in words is "two billion, five hundred sixty-four million, three hundred eighty-nine thousand, nine hundred sixty-eight".