2252806900 has 18 divisors (see below), whose sum is σ = 4888591190. Its totient is φ = 901122720.

The previous prime is 2252806889. The next prime is 2252806903. The reversal of 2252806900 is 96082522.

It can be written as a sum of positive squares in 3 ways, for example, as 234641124 + 2018165776 = 15318^2 + 44924^2 .

It is a super-2 number, since 2×2252806900² = 10150277857375220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252806903) 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, 11263935 + ... + 11264134.

Almost surely, 2^2252806900 is an apocalyptic number.

2252806900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252806900 is an abundant number, since it is smaller than the sum of its proper divisors (2635784290).

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

2252806900 is a wasteful number, since it uses less digits than its factorization.

2252806900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22528083 (or 22528076 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 2252806900 is about 47463.7430045293. The cubic root of 2252806900 is about 1310.9153713396.

The spelling of 2252806900 in words is "two billion, two hundred fifty-two million, eight hundred six thousand, nine hundred".