2315629432320 has 320 divisors, whose sum is σ = 7924501728000. Its totient is φ = 575083708416.

The previous prime is 2315629432307. The next prime is 2315629432331. The reversal of 2315629432320 is 232349265132.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8474796 + ... + 8743764.

It is an arithmetic number, because the mean of its divisors is an integer number (24764067900).

Almost surely, 2^{2315629432320} is an apocalyptic number.

2315629432320 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 2315629432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962250864000).

2315629432320 is an abundant number, since it is smaller than the sum of its proper divisors (5608872295680).

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

2315629432320 is a wasteful number, since it uses less digits than its factorization.

2315629432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269073 (or 269057 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 2315629432320 in words is "two trillion, three hundred fifteen billion, six hundred twenty-nine million, four hundred thirty-two thousand, three hundred twenty".