2288238400 has 168 divisors, whose sum is σ = 6774159680. Its totient is φ = 743178240.

The previous prime is 2288238353. The next prime is 2288238443. The reversal of 2288238400 is 48328822.

It is a self number, because there is not a number n which added to its sum of digits gives 2288238400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207424 + ... + 218176.

Almost surely, 2^2288238400 is an apocalyptic number.

2288238400 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 2288238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3387079840).

2288238400 is an abundant number, since it is smaller than the sum of its proper divisors (4485921280).

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

2288238400 is a wasteful number, since it uses less digits than its factorization.

2288238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10801 (or 10786 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 2288238400 is about 47835.5349086848. The cubic root of 2288238400 is about 1317.7522198107.

The spelling of 2288238400 in words is "two billion, two hundred eighty-eight million, two hundred thirty-eight thousand, four hundred".