2252165600 has 36 divisors (see below), whose sum is σ = 5498101224. Its totient is φ = 900865920.

The previous prime is 2252165581. The next prime is 2252165609. The reversal of 2252165600 is 65612522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252165609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1406804 + ... + 1408403.

It is an arithmetic number, because the mean of its divisors is an integer number (152725034).

Almost surely, 2^2252165600 is an apocalyptic number.

2252165600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252165600 is an abundant number, since it is smaller than the sum of its proper divisors (3245935624).

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

2252165600 is a wasteful number, since it uses less digits than its factorization.

2252165600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815227 (or 2815214 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 2252165600 is about 47456.9868407171. The cubic root of 2252165600 is about 1310.7909680433.

The spelling of 2252165600 in words is "two billion, two hundred fifty-two million, one hundred sixty-five thousand, six hundred".