2259264200 has 36 divisors (see below), whose sum is σ = 5254352595. Its totient is φ = 903436800.

The previous prime is 2259264191. The next prime is 2259264239. The reversal of 2259264200 is 24629522.

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 1398311236 + 860952964 = 37394^2 + 29342^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33610.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 670520 + ... + 673880.

Almost surely, 2^2259264200 is an apocalyptic number.

2259264200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2259264200 is an abundant number, since it is smaller than the sum of its proper divisors (2995088395).

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

2259264200 is an frugal number, since it uses more digits than its factorization.

2259264200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6738 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2259264200 is about 47531.7178313597. The cubic root of 2259264200 is about 1312.1666842187.

Multiplying 2259264200 by its sum of digits (32), we get a square (72296454400 = 268880²).

The spelling of 2259264200 in words is "two billion, two hundred fifty-nine million, two hundred sixty-four thousand, two hundred".