2313123264 has 112 divisors (see below), whose sum is σ = 6811914240. Its totient is φ = 769708800.

The previous prime is 2313123257. The next prime is 2313123269. The reversal of 2313123264 is 4623213132.

2313123264 is a `hidden beast` number, since 23 + 1 + 312 + 326 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313123269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1988347 + ... + 1989509.

Almost surely, 2^2313123264 is an apocalyptic number.

2313123264 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 2313123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405957120).

2313123264 is an abundant number, since it is smaller than the sum of its proper divisors (4498790976).

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

2313123264 is a wasteful number, since it uses less digits than its factorization.

2313123264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2319 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 2313123264 is about 48094.9401080821. The cubic root of 2313123264 is about 1322.5119111090.

Adding to 2313123264 its reverse (4623213132), we get a palindrome (6936336396).

The spelling of 2313123264 in words is "two billion, three hundred thirteen million, one hundred twenty-three thousand, two hundred sixty-four".