2288092800 has 384 divisors, whose sum is σ = 8742297600. Its totient is φ = 515174400.

The previous prime is 2288092787. The next prime is 2288092819. The reversal of 2288092800 is 82908822.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2288092800² = 10470737322823680000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5308585 + ... + 5309015.

It is an arithmetic number, because the mean of its divisors is an integer number (22766400).

Almost surely, 2^2288092800 is an apocalyptic number.

2288092800 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 2288092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371148800).

2288092800 is an abundant number, since it is smaller than the sum of its proper divisors (6454204800).

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

2288092800 is a wasteful number, since it uses less digits than its factorization.

2288092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 2288092800 is about 47834.0130033013. The cubic root of 2288092800 is about 1317.7242698103.

The spelling of 2288092800 in words is "two billion, two hundred eighty-eight million, ninety-two thousand, eight hundred".