2312135198560 has 288 divisors, whose sum is σ = 6333623089920. Its totient is φ = 794827883520.

The previous prime is 2312135198557. The next prime is 2312135198573. The reversal of 2312135198560 is 658915312132.

It is a self number, because there is not a number n which added to its sum of digits gives 2312135198560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179131627 + ... + 179144533.

It is an arithmetic number, because the mean of its divisors is an integer number (21991746840).

Almost surely, 2^{2312135198560} is an apocalyptic number.

2312135198560 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 2312135198560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166811544960).

2312135198560 is an abundant number, since it is smaller than the sum of its proper divisors (4021487891360).

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

2312135198560 is a wasteful number, since it uses less digits than its factorization.

2312135198560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13450 (or 13431 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 2312135198560 in words is "two trillion, three hundred twelve billion, one hundred thirty-five million, one hundred ninety-eight thousand, five hundred sixty".