2315550039264 has 864 divisors, whose sum is σ = 8514501166080. Its totient is φ = 584007874560.

The previous prime is 2315550039239. The next prime is 2315550039269. The reversal of 2315550039264 is 4629300555132.

2315550039264 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 550 + 0 + 3 + 92 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2315550039269) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1593633162 + ... + 1593634614.

It is an arithmetic number, because the mean of its divisors is an integer number (9854746720).

Almost surely, 2^{2315550039264} is an apocalyptic number.

2315550039264 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 2315550039264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257250583040).

2315550039264 is an abundant number, since it is smaller than the sum of its proper divisors (6198951126816).

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

2315550039264 is a wasteful number, since it uses less digits than its factorization.

2315550039264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 2315550039264 in words is "two trillion, three hundred fifteen billion, five hundred fifty million, thirty-nine thousand, two hundred sixty-four".