2313663264 has 216 divisors, whose sum is σ = 7502891760. Its totient is φ = 700824960.

The previous prime is 2313663227. The next prime is 2313663277. The reversal of 2313663264 is 4623663132.

2313663264 is a `hidden beast` number, since 2 + 3 + 13 + 6 + 632 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 939667 + ... + 942125.

It is an arithmetic number, because the mean of its divisors is an integer number (34735610).

Almost surely, 2^2313663264 is an apocalyptic number.

2313663264 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 2313663264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751445880).

2313663264 is an abundant number, since it is smaller than the sum of its proper divisors (5189228496).

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

2313663264 is a wasteful number, since it uses less digits than its factorization.

2313663264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2475 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 2313663264 is about 48100.5536766470. The cubic root of 2313663264 is about 1322.6148168320.

The spelling of 2313663264 in words is "two billion, three hundred thirteen million, six hundred sixty-three thousand, two hundred sixty-four".