2564576652 has 96 divisors (see below), whose sum is σ = 6629817600. Its totient is φ = 765107200.

The previous prime is 2564576639. The next prime is 2564576681. The reversal of 2564576652 is 2566754652.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4922152 + ... + 4922672.

It is an arithmetic number, because the mean of its divisors is an integer number (69060600).

Almost surely, 2^2564576652 is an apocalyptic number.

2564576652 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 2564576652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314908800).

2564576652 is an abundant number, since it is smaller than the sum of its proper divisors (4065240948).

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

2564576652 is a wasteful number, since it uses less digits than its factorization.

2564576652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1045 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 48.

The square root of 2564576652 is about 50641.6493807222. The cubic root of 2564576652 is about 1368.7954766984.

The spelling of 2564576652 in words is "two billion, five hundred sixty-four million, five hundred seventy-six thousand, six hundred fifty-two".