2313964224 has 252 divisors, whose sum is σ = 7838538552. Its totient is φ = 646963200.

The previous prime is 2313964223. The next prime is 2313964253. The reversal of 2313964224 is 4224693132.

2313964224 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 9 + 642 + 2 + 4 = 666.

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 not an unprimeable number, because it can be changed into a prime (2313964223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1069704 + ... + 1071864.

Almost surely, 2^2313964224 is an apocalyptic number.

2313964224 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 2313964224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919269276).

2313964224 is an abundant number, since it is smaller than the sum of its proper divisors (5524574328).

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

2313964224 is a wasteful number, since it uses less digits than its factorization.

2313964224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2190 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 2313964224 is about 48103.6820212341. The cubic root of 2313964224 is about 1322.6721626730.

The spelling of 2313964224 in words is "two billion, three hundred thirteen million, nine hundred sixty-four thousand, two hundred twenty-four".