2613210264 has 96 divisors (see below), whose sum is σ = 8172047520. Its totient is φ = 738920448.

The previous prime is 2613210191. The next prime is 2613210289. The reversal of 2613210264 is 4620123162.

2613210264 is a `hidden beast` number, since 2 + 613 + 21 + 0 + 26 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22162 + ... + 75614.

It is an arithmetic number, because the mean of its divisors is an integer number (85125495).

Almost surely, 2^2613210264 is an apocalyptic number.

2613210264 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 2613210264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086023760).

2613210264 is an abundant number, since it is smaller than the sum of its proper divisors (5558837256).

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

2613210264 is a wasteful number, since it uses less digits than its factorization.

2613210264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53569 (or 53562 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2613210264 is about 51119.5683080364. The cubic root of 2613210264 is about 1377.3937830469.

The spelling of 2613210264 in words is "two billion, six hundred thirteen million, two hundred ten thousand, two hundred sixty-four".