2564664652 has 48 divisors (see below), whose sum is σ = 5022864000. Its totient is φ = 1135733760.

The previous prime is 2564664649. The next prime is 2564664653.

2564664652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2564664652² = 13155009554436562208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2564664653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 847999 + ... + 851017.

It is an arithmetic number, because the mean of its divisors is an integer number (104643000).

Almost surely, 2^2564664652 is an apocalyptic number.

2564664652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2564664652 is a deficient number, since it is larger than the sum of its proper divisors (2458199348).

2564664652 is a wasteful number, since it uses less digits than its factorization.

2564664652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526 (or 3524 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 46.

The square root of 2564664652 is about 50642.5182233269. The cubic root of 2564664652 is about 1368.8111326449.

The spelling of 2564664652 in words is "two billion, five hundred sixty-four million, six hundred sixty-four thousand, six hundred fifty-two".