2315056661424 has 320 divisors, whose sum is σ = 7196414400000. Its totient is φ = 708337529856.

The previous prime is 2315056661377. The next prime is 2315056661431. The reversal of 2315056661424 is 4241666505132.

It is a self number, because there is not a number n which added to its sum of digits gives 2315056661424.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 821231887 + ... + 821234705.

It is an arithmetic number, because the mean of its divisors is an integer number (22488795000).

Almost surely, 2^{2315056661424} is an apocalyptic number.

2315056661424 is a gapful number since it is divisible by the number (24) 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 2315056661424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598207200000).

2315056661424 is an abundant number, since it is smaller than the sum of its proper divisors (4881357738576).

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

2315056661424 is a wasteful number, since it uses less digits than its factorization.

2315056661424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3617 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2315056661424 in words is "two trillion, three hundred fifteen billion, fifty-six million, six hundred sixty-one thousand, four hundred twenty-four".