2315664341760 has 576 divisors, whose sum is σ = 9416792899584. Its totient is φ = 470936371200.

The previous prime is 2315664341743. The next prime is 2315664341779. The reversal of 2315664341760 is 671434665132.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 13813645 + ... + 13980275.

It is an arithmetic number, because the mean of its divisors is an integer number (16348598784).

Almost surely, 2^{2315664341760} is an apocalyptic number.

2315664341760 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 2315664341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4708396449792).

2315664341760 is an abundant number, since it is smaller than the sum of its proper divisors (7101128557824).

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

2315664341760 is a wasteful number, since it uses less digits than its factorization.

2315664341760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166720 (or 166706 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 2315664341760 in words is "two trillion, three hundred fifteen billion, six hundred sixty-four million, three hundred forty-one thousand, seven hundred sixty".