2316988800 has 480 divisors, whose sum is σ = 9779307120. Its totient is φ = 529182720.

The previous prime is 2316988787. The next prime is 2316988813. The reversal of 2316988800 is 88896132.

It is an interprime number because it is at equal distance from previous prime (2316988787) and next prime (2316988813).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1813762 + ... + 1815038.

Almost surely, 2^2316988800 is an apocalyptic number.

2316988800 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 2316988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889653560).

2316988800 is an abundant number, since it is smaller than the sum of its proper divisors (7462318320).

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

2316988800 is a wasteful number, since it uses less digits than its factorization.

2316988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2316988800 is about 48135.1098471791. The cubic root of 2316988800 is about 1323.2481987641.

The spelling of 2316988800 in words is "two billion, three hundred sixteen million, nine hundred eighty-eight thousand, eight hundred".