2288228592000 has 512 divisors, whose sum is σ = 8389843862400. Its totient is φ = 548027596800.

The previous prime is 2288228591947. The next prime is 2288228592031. The reversal of 2288228592000 is 2958228822.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23038446 + ... + 23137554.

Almost surely, 2^{2288228592000} is an apocalyptic number.

2288228592000 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 2288228592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194921931200).

2288228592000 is an abundant number, since it is smaller than the sum of its proper divisors (6101615270400).

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

2288228592000 is a wasteful number, since it uses less digits than its factorization.

2288228592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99191 (or 99169 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 2288228592000 in words is "two trillion, two hundred eighty-eight billion, two hundred twenty-eight million, five hundred ninety-two thousand".