2564625264 has 80 divisors (see below), whose sum is σ = 6793767552. Its totient is φ = 833220864.

The previous prime is 2564625251. The next prime is 2564625299. The reversal of 2564625264 is 4625264652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1264219 + ... + 1266245.

Almost surely, 2^2564625264 is an apocalyptic number.

2564625264 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 2564625264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396883776).

2564625264 is an abundant number, since it is smaller than the sum of its proper divisors (4229142288).

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

2564625264 is a wasteful number, since it uses less digits than its factorization.

2564625264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2688 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The square root of 2564625264 is about 50642.1293391184. The cubic root of 2564625264 is about 1368.8041252298.

It can be divided in two parts, 256462 and 5264, that added together give a triangular number (261726 = T₇₂₃).

The spelling of 2564625264 in words is "two billion, five hundred sixty-four million, six hundred twenty-five thousand, two hundred sixty-four".