2564163264 has 168 divisors, whose sum is σ = 7556571120. Its totient is φ = 762808320.

The previous prime is 2564163223. The next prime is 2564163271. The reversal of 2564163264 is 4623614652.

It is a super-4 number, since 4×2564163264⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 2398122 + ... + 2399190.

It is an arithmetic number, because the mean of its divisors is an integer number (44979590).

Almost surely, 2^2564163264 is an apocalyptic number.

2564163264 is a gapful number since it is divisible by the number (24) 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 2564163264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778285560).

2564163264 is an abundant number, since it is smaller than the sum of its proper divisors (4992407856).

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

2564163264 is a wasteful number, since it uses less digits than its factorization.

2564163264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1118 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 2564163264 is about 50637.5677140994. The cubic root of 2564163264 is about 1368.7219266734.

The spelling of 2564163264 in words is "two billion, five hundred sixty-four million, one hundred sixty-three thousand, two hundred sixty-four".