2313624384 has 196 divisors, whose sum is σ = 7290908964. Its totient is φ = 725594112.

The previous prime is 2313624373. The next prime is 2313624463. The reversal of 2313624384 is 4834263132.

2313624384 is a `hidden beast` number, since 23 + 1 + 3 + 624 + 3 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2156673600 + 156950784 = 46440^2 + 12528^2 .

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 791694 + ... + 794610.

Almost surely, 2^2313624384 is an apocalyptic number.

2313624384 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 2313624384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645454482).

2313624384 is an abundant number, since it is smaller than the sum of its proper divisors (4977284580).

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

2313624384 is an equidigital number, since it uses as much as digits as its factorization.

2313624384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2939 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 2313624384 is about 48100.1495215971. The cubic root of 2313624384 is about 1322.6074081549.

The spelling of 2313624384 in words is "two billion, three hundred thirteen million, six hundred twenty-four thousand, three hundred eighty-four".