2566164400 has 30 divisors (see below), whose sum is σ = 6165210932. Its totient is φ = 1026465600.

The previous prime is 2566164361. The next prime is 2566164427. The reversal of 2566164400 is 44616652.

2566164400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3207306 + ... + 3208105.

Almost surely, 2^2566164400 is an apocalyptic number.

2566164400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2566164400 is an abundant number, since it is smaller than the sum of its proper divisors (3599046532).

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

2566164400 is a wasteful number, since it uses less digits than its factorization.

2566164400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6415429 (or 6415418 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 2566164400 is about 50657.3232613015. The cubic root of 2566164400 is about 1369.0778954920.

The spelling of 2566164400 in words is "two billion, five hundred sixty-six million, one hundred sixty-four thousand, four hundred".