2315680727040 has 180 divisors, whose sum is σ = 8027450757144. Its totient is φ = 617514663936.

The previous prime is 2315680727033. The next prime is 2315680727071. The reversal of 2315680727040 is 407270865132.

2315680727040 is a `hidden beast` number, since 2 + 315 + 68 + 0 + 7 + 270 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 833142 + ... + 2307701.

Almost surely, 2^{2315680727040} is an apocalyptic number.

2315680727040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2315680727040 is an abundant number, since it is smaller than the sum of its proper divisors (5711770030104).

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

2315680727040 is an equidigital number, since it uses as much as digits as its factorization.

2315680727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140882 (or 3140853 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 2315680727040 in words is "two trillion, three hundred fifteen billion, six hundred eighty million, seven hundred twenty-seven thousand, forty".