2320113120 has 288 divisors, whose sum is σ = 8138182752. Its totient is φ = 554950656.

The previous prime is 2320113091. The next prime is 2320113137. The reversal of 2320113120 is 213110232.

It is a super-2 number, since 2×2320113120² = 10765849779192268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2320113120.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3001054 + ... + 3001826.

It is an arithmetic number, because the mean of its divisors is an integer number (28257579).

Almost surely, 2^2320113120 is an apocalyptic number.

2320113120 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 2320113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069091376).

2320113120 is an abundant number, since it is smaller than the sum of its proper divisors (5818069632).

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

2320113120 is a wasteful number, since it uses less digits than its factorization.

2320113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2320113120 is about 48167.5525639408. The cubic root of 2320113120 is about 1323.8427051540.

Adding to 2320113120 its reverse (213110232), we get a palindrome (2533223352).

It can be divided in two parts, 2320 and 113120, that added together give a triangular number (115440 = T₄₈₀).

The spelling of 2320113120 in words is "two billion, three hundred twenty million, one hundred thirteen thousand, one hundred twenty".