2913603264 has 336 divisors, whose sum is σ = 10129357440. Its totient is φ = 814095360.

The previous prime is 2913603239. The next prime is 2913603281. The reversal of 2913603264 is 4623063192.

2913603264 is a `hidden beast` number, since 29 + 1 + 3 + 603 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3211899 + ... + 3212805.

Almost surely, 2^2913603264 is an apocalyptic number.

2913603264 is a gapful number since it is divisible by the number (24) 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 2913603264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5064678720).

2913603264 is an abundant number, since it is smaller than the sum of its proper divisors (7215754176).

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

2913603264 is a wasteful number, since it uses less digits than its factorization.

2913603264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2913603264 is about 53977.8034380800. The cubic root of 2913603264 is about 1428.2694216597.

The spelling of 2913603264 in words is "two billion, nine hundred thirteen million, six hundred three thousand, two hundred sixty-four".