2288563200 has 1056 divisors, whose sum is σ = 10721694720. Its totient is φ = 464486400.

The previous prime is 2288563139. The next prime is 2288563219. The reversal of 2288563200 is 23658822.

2288563200 is a `hidden beast` number, since 2 + 288 + 56 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53222379 + ... + 53222421.

It is an arithmetic number, because the mean of its divisors is an integer number (10153120).

Almost surely, 2^2288563200 is an apocalyptic number.

2288563200 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 2288563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5360847360).

2288563200 is an abundant number, since it is smaller than the sum of its proper divisors (8433131520).

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

2288563200 is a wasteful number, since it uses less digits than its factorization.

2288563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2288563200 is about 47838.9297539149. The cubic root of 2288563200 is about 1317.8145655394.

The spelling of 2288563200 in words is "two billion, two hundred eighty-eight million, five hundred sixty-three thousand, two hundred".