2312880000 has 320 divisors, whose sum is σ = 8029929600. Its totient is φ = 588544000.

The previous prime is 2312879983. The next prime is 2312880019. The reversal of 2312880000 is 882132.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5519791 + ... + 5520209.

It is an arithmetic number, because the mean of its divisors is an integer number (25093530).

Almost surely, 2^2312880000 is an apocalyptic number.

2312880000 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 2312880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014964800).

2312880000 is an abundant number, since it is smaller than the sum of its proper divisors (5717049600).

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

2312880000 is an equidigital number, since it uses as much as digits as its factorization.

2312880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2312880000 is about 48092.4110437395. The cubic root of 2312880000 is about 1322.4655479916.

The spelling of 2312880000 in words is "two billion, three hundred twelve million, eight hundred eighty thousand".