2312518888960 has 480 divisors, whose sum is σ = 7126350580800. Its totient is φ = 713764896768.

The previous prime is 2312518888913. The next prime is 2312518888969. The reversal of 2312518888960 is 698888152132.

It is a super-2 number, since 2×2312518888960² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312518888969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49023466 + ... + 49070614.

It is an arithmetic number, because the mean of its divisors is an integer number (14846563710).

Almost surely, 2^{2312518888960} is an apocalyptic number.

2312518888960 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 2312518888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563175290400).

2312518888960 is an abundant number, since it is smaller than the sum of its proper divisors (4813831691840).

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

2312518888960 is a wasteful number, since it uses less digits than its factorization.

2312518888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47226 (or 47203 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 61.

The spelling of 2312518888960 in words is "two trillion, three hundred twelve billion, five hundred eighteen million, eight hundred eighty-eight thousand, nine hundred sixty".