2564526272 has 84 divisors (see below), whose sum is σ = 6392905680. Its totient is φ = 999144960.

The previous prime is 2564526233. The next prime is 2564526329. The reversal of 2564526272 is 2726254652.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30554 + ... + 77862.

It is an arithmetic number, because the mean of its divisors is an integer number (76106020).

Almost surely, 2^2564526272 is an apocalyptic number.

2564526272 is a gapful number since it is divisible by the number (22) 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 2564526272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196452840).

2564526272 is an abundant number, since it is smaller than the sum of its proper divisors (3828379408).

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

2564526272 is a wasteful number, since it uses less digits than its factorization.

2564526272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47350 (or 47329 counting only the distinct ones).

The product of its digits is 403200, while the sum is 41.

The square root of 2564526272 is about 50641.1519616211. The cubic root of 2564526272 is about 1368.7865135078.

The spelling of 2564526272 in words is "two billion, five hundred sixty-four million, five hundred twenty-six thousand, two hundred seventy-two".