2415332160 has 84 divisors (see below), whose sum is σ = 8307746148. Its totient is φ = 644087808.

The previous prime is 2415332159. The next prime is 2415332177. The reversal of 2415332160 is 612335142.

2415332160 is a `hidden beast` number, since 2 + 415 + 33 + 216 + 0 = 666.

2415332160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 260887104 + 2154445056 = 16152^2 + 46416^2 .

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, 416449 + ... + 422208.

Almost surely, 2^2415332160 is an apocalyptic number.

2415332160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2415332160 is an abundant number, since it is smaller than the sum of its proper divisors (5892413988).

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

2415332160 is a wasteful number, since it uses less digits than its factorization.

2415332160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838680 (or 838667 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2415332160 is about 49146.0289341876. The cubic root of 2415332160 is about 1341.7109206669.

The spelling of 2415332160 in words is "two billion, four hundred fifteen million, three hundred thirty-two thousand, one hundred sixty".