2400431313 has 32 divisors (see below), whose sum is σ = 3727832832. Its totient is φ = 1345536000.

The previous prime is 2400431303. The next prime is 2400431323. The reversal of 2400431313 is 3131340042.

2400431313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2400431303) and next prime (2400431323).

It is not a de Polignac number, because 2400431313 - 2⁹ = 2400430801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2400431313.

It is not an unprimeable number, because it can be changed into a prime (2400431303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511345 + ... + 516017.

It is an arithmetic number, because the mean of its divisors is an integer number (116494776).

Almost surely, 2^2400431313 is an apocalyptic number.

It is an amenable number.

2400431313 is a deficient number, since it is larger than the sum of its proper divisors (1327401519).

2400431313 is a wasteful number, since it uses less digits than its factorization.

2400431313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2400431313 is about 48994.1967277758. The cubic root of 2400431313 is about 1338.9460995641.

Adding to 2400431313 its reverse (3131340042), we get a palindrome (5531771355).

The spelling of 2400431313 in words is "two billion, four hundred million, four hundred thirty-one thousand, three hundred thirteen".