2564712200 has 36 divisors (see below), whose sum is σ = 5964621495. Its totient is φ = 1025598400.

The previous prime is 2564712149. The next prime is 2564712217. The reversal of 2564712200 is 22174652.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 2022660676 + 542051524 = 44974^2 + 23282^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=35810.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 714410 + ... + 717990.

Almost surely, 2^2564712200 is an apocalyptic number.

2564712200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564712200 is an abundant number, since it is smaller than the sum of its proper divisors (3399909295).

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

2564712200 is an frugal number, since it uses more digits than its factorization.

2564712200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7178 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 2564712200 is about 50642.9876685805. The cubic root of 2564712200 is about 1368.8195916884.

Adding to 2564712200 its reverse (22174652), we get a palindrome (2586886852).

The spelling of 2564712200 in words is "two billion, five hundred sixty-four million, seven hundred twelve thousand, two hundred".