2315666242800 has 240 divisors, whose sum is σ = 8245179496960. Its totient is φ = 617277024000.

The previous prime is 2315666242789. The next prime is 2315666242849. The reversal of 2315666242800 is 82426665132.

2315666242800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 29455545 + ... + 29534055.

Almost surely, 2^{2315666242800} is an apocalyptic number.

2315666242800 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 2315666242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122589748480).

2315666242800 is an abundant number, since it is smaller than the sum of its proper divisors (5929513254160).

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

2315666242800 is a wasteful number, since it uses less digits than its factorization.

2315666242800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81269 (or 81252 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2315666242800 in words is "two trillion, three hundred fifteen billion, six hundred sixty-six million, two hundred forty-two thousand, eight hundred".