2815132320 has 1440 divisors, whose sum is σ = 14015586816. Its totient is φ = 522547200.

The previous prime is 2815132319. The next prime is 2815132363. The reversal of 2815132320 is 232315182.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 90810705 + ... + 90810735.

Almost surely, 2^2815132320 is an apocalyptic number.

2815132320 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 2815132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7007793408).

2815132320 is an abundant number, since it is smaller than the sum of its proper divisors (11200454496).

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

2815132320 is a wasteful number, since it uses less digits than its factorization.

2815132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2815132320 is about 53057.8205357137. The cubic root of 2815132320 is about 1411.9942807538.

The spelling of 2815132320 in words is "two billion, eight hundred fifteen million, one hundred thirty-two thousand, three hundred twenty".