2259192200 has 48 divisors (see below), whose sum is σ = 5256092160. Its totient is φ = 903080000.

The previous prime is 2259192197. The next prime is 2259192211. The reversal of 2259192200 is 22919522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 419525 + ... + 424875.

It is an arithmetic number, because the mean of its divisors is an integer number (109501920).

Almost surely, 2^2259192200 is an apocalyptic number.

2259192200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2259192200 is an abundant number, since it is smaller than the sum of its proper divisors (2996899960).

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

2259192200 is a wasteful number, since it uses less digits than its factorization.

2259192200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7478 (or 7469 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 2259192200 is about 47530.9604363303. The cubic root of 2259192200 is about 1312.1527450189.

The spelling of 2259192200 in words is "two billion, two hundred fifty-nine million, one hundred ninety-two thousand, two hundred".