2313400320 has 624 divisors, whose sum is σ = 10058810112. Its totient is φ = 477757440.

The previous prime is 2313400303. The next prime is 2313400343. The reversal of 2313400320 is 230043132.

2313400320 is a `hidden beast` number, since 2 + 3 + 1 + 340 + 0 + 320 = 666.

It is a super-2 number, since 2×2313400320² = 10703642081152204800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2313400293 and 2313400302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14192559 + ... + 14192721.

It is an arithmetic number, because the mean of its divisors is an integer number (16119888).

Almost surely, 2^2313400320 is an apocalyptic number.

2313400320 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 2313400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029405056).

2313400320 is an abundant number, since it is smaller than the sum of its proper divisors (7745409792).

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

2313400320 is a wasteful number, since it uses less digits than its factorization.

2313400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2313400320 is about 48097.8203248338. The cubic root of 2313400320 is about 1322.5647106056.

Adding to 2313400320 its reverse (230043132), we get a palindrome (2543443452).

The spelling of 2313400320 in words is "two billion, three hundred thirteen million, four hundred thousand, three hundred twenty".