2313133440 has 128 divisors (see below), whose sum is σ = 7572618720. Its totient is φ = 600145920.

The previous prime is 2313133439. The next prime is 2313133453. The reversal of 2313133440 is 443313132.

2313133440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2313133440² = 10701172622492467200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2313133440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54760 + ... + 87320.

Almost surely, 2^2313133440 is an apocalyptic number.

2313133440 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 2313133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786309360).

2313133440 is an abundant number, since it is smaller than the sum of its proper divisors (5259485280).

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

2313133440 is a wasteful number, since it uses less digits than its factorization.

2313133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32620 (or 32608 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 2313133440 is about 48095.0458987202. The cubic root of 2313133440 is about 1322.5138504582.

Adding to 2313133440 its reverse (443313132), we get a palindrome (2756446572).

The spelling of 2313133440 in words is "two billion, three hundred thirteen million, one hundred thirty-three thousand, four hundred forty".