2312013600 has 432 divisors, whose sum is σ = 9302732712. Its totient is φ = 535265280.

The previous prime is 2312013593. The next prime is 2312013619. The reversal of 2312013600 is 63102132.

2312013600 is a `hidden beast` number, since 2 + 31 + 20 + 13 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 565107984 + 1746905616 = 23772^2 + 41796^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1590474 + ... + 1591926.

Almost surely, 2^2312013600 is an apocalyptic number.

2312013600 is a gapful number since it is divisible by the number (20) 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 2312013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651366356).

2312013600 is an abundant number, since it is smaller than the sum of its proper divisors (6990719112).

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

2312013600 is a wasteful number, since it uses less digits than its factorization.

2312013600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2312013600 is about 48083.4025418335. The cubic root of 2312013600 is about 1322.3003964273.

Adding to 2312013600 its reverse (63102132), we get a palindrome (2375115732).

It can be divided in two parts, 23120 and 13600, that multiplied together give a cube (314432000 = 680³).

The spelling of 2312013600 in words is "two billion, three hundred twelve million, thirteen thousand, six hundred".