2315042515968 has 528 divisors, whose sum is σ = 7894773702144. Its totient is φ = 597546270720.

The previous prime is 2315042515957. The next prime is 2315042515987. The reversal of 2315042515968 is 8695152405132.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2315042515968.

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, 91960023 + ... + 91985193.

Almost surely, 2^{2315042515968} is an apocalyptic number.

2315042515968 is a gapful number since it is divisible by the number (28) 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 2315042515968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947386851072).

2315042515968 is an abundant number, since it is smaller than the sum of its proper divisors (5579731186176).

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

2315042515968 is a wasteful number, since it uses less digits than its factorization.

2315042515968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25268 (or 25243 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

It can be divided in two parts, 2315042 and 515968, that added together give a triangular number (2831010 = T₂₃₇₉).

The spelling of 2315042515968 in words is "two trillion, three hundred fifteen billion, forty-two million, five hundred fifteen thousand, nine hundred sixty-eight".