2313430400 has 96 divisors (see below), whose sum is σ = 5779819800. Its totient is φ = 914862080.

The previous prime is 2313430393. The next prime is 2313430409. The reversal of 2313430400 is 40343132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313430409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 280739 + ... + 288861.

Almost surely, 2^2313430400 is an apocalyptic number.

2313430400 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 2313430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889909900).

2313430400 is an abundant number, since it is smaller than the sum of its proper divisors (3466389400).

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

2313430400 is an equidigital number, since it uses as much as digits as its factorization.

2313430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8236 (or 8219 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2313430400 is about 48098.1330199001. The cubic root of 2313430400 is about 1322.5704427990.

Adding to 2313430400 its reverse (40343132), we get a palindrome (2353773532).

The spelling of 2313430400 in words is "two billion, three hundred thirteen million, four hundred thirty thousand, four hundred".