2259268200 has 576 divisors, whose sum is σ = 9343152000. Its totient is φ = 496419840.

The previous prime is 2259268177. The next prime is 2259268201. The reversal of 2259268200 is 28629522.

2259268200 is a `hidden beast` number, since 2 + 2 + 592 + 68 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2259268201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9865686 + ... + 9865914.

It is an arithmetic number, because the mean of its divisors is an integer number (16220750).

Almost surely, 2^2259268200 is an apocalyptic number.

2259268200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2259268200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671576000).

2259268200 is an abundant number, since it is smaller than the sum of its proper divisors (7083883800).

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

2259268200 is a wasteful number, since it uses less digits than its factorization.

2259268200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2259268200 is about 47531.7599085075. The cubic root of 2259268200 is about 1312.1674586100.

The spelling of 2259268200 in words is "two billion, two hundred fifty-nine million, two hundred sixty-eight thousand, two hundred".