2252113200 has 120 divisors (see below), whose sum is σ = 8015893200. Its totient is φ = 600560640.

The previous prime is 2252113183. The next prime is 2252113219. The reversal of 2252113200 is 23112522.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2252113200² = 10144027731228480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93465 + ... + 115064.

It is an arithmetic number, because the mean of its divisors is an integer number (66799110).

Almost surely, 2^2252113200 is an apocalyptic number.

2252113200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252113200 is an abundant number, since it is smaller than the sum of its proper divisors (5763780000).

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

2252113200 is a wasteful number, since it uses less digits than its factorization.

2252113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208556 (or 208539 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2252113200 is about 47456.4347586289. The cubic root of 2252113200 is about 1310.7808021273.

Adding to 2252113200 its reverse (23112522), we get a palindrome (2275225722).

It can be divided in two parts, 22521 and 13200, that added together give a square (35721 = 189²).

The spelling of 2252113200 in words is "two billion, two hundred fifty-two million, one hundred thirteen thousand, two hundred".