2564666400 has 72 divisors (see below), whose sum is σ = 8347996944. Its totient is φ = 683910400.

The previous prime is 2564666383. The next prime is 2564666407. The reversal of 2564666400 is 46664652.

It is not an unprimeable number, because it can be changed into a prime (2564666407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 531906 + ... + 536705.

It is an arithmetic number, because the mean of its divisors is an integer number (115944402).

Almost surely, 2^2564666400 is an apocalyptic number.

2564666400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564666400 is an abundant number, since it is smaller than the sum of its proper divisors (5783330544).

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

2564666400 is a wasteful number, since it uses less digits than its factorization.

2564666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068634 (or 1068621 counting only the distinct ones).

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

The square root of 2564666400 is about 50642.5354815495. The cubic root of 2564666400 is about 1368.8114436253.

The spelling of 2564666400 in words is "two billion, five hundred sixty-four million, six hundred sixty-six thousand, four hundred".