2913285960 has 512 divisors, whose sum is σ = 11241216000. Its totient is φ = 665127936.

The previous prime is 2913285953. The next prime is 2913286021. The reversal of 2913285960 is 695823192.

2913285960 is a `hidden beast` number, since 29 + 1 + 32 + 8 + 596 + 0 = 666.

2913285960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17872839 + ... + 17873001.

It is an arithmetic number, because the mean of its divisors is an integer number (21955500).

Almost surely, 2^2913285960 is an apocalyptic number.

2913285960 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 2913285960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620608000).

2913285960 is an abundant number, since it is smaller than the sum of its proper divisors (8327930040).

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

2913285960 is a wasteful number, since it uses less digits than its factorization.

2913285960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2913285960 is about 53974.8641498985. The cubic root of 2913285960 is about 1428.2175715378.

The spelling of 2913285960 in words is "two billion, nine hundred thirteen million, two hundred eighty-five thousand, nine hundred sixty".