2315205504000 has 440 divisors, whose sum is σ = 8628281664288. Its totient is φ = 617385369600.

The previous prime is 2315205503999. The next prime is 2315205504013. The reversal of 2315205504000 is 4055025132.

It is a happy number.

2315205504000 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 205 + 50 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10256349 + ... + 10479651.

Almost surely, 2^{2315205504000} is an apocalyptic number.

2315205504000 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 2315205504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4314140832144).

2315205504000 is an abundant number, since it is smaller than the sum of its proper divisors (6313076160288).

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

2315205504000 is an equidigital number, since it uses as much as digits as its factorization.

2315205504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223350 (or 223313 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 2315205504000 in words is "two trillion, three hundred fifteen billion, two hundred five million, five hundred four thousand".