2288260800 has 1008 divisors, whose sum is σ = 10340766720. Its totient is φ = 489646080.

The previous prime is 2288260769. The next prime is 2288260813. The reversal of 2288260800 is 80628822.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×2288260800² = 10472274977633280000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48686377 + ... + 48686423.

Almost surely, 2^2288260800 is an apocalyptic number.

2288260800 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 2288260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170383360).

2288260800 is an abundant number, since it is smaller than the sum of its proper divisors (8052505920).

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

2288260800 is a wasteful number, since it uses less digits than its factorization.

2288260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2288260800 is about 47835.7690436769. The cubic root of 2288260800 is about 1317.7565197055.

The spelling of 2288260800 in words is "two billion, two hundred eighty-eight million, two hundred sixty thousand, eight hundred".