2400332340 has 96 divisors (see below), whose sum is σ = 8132914944. Its totient is φ = 516372480.

The previous prime is 2400332329. The next prime is 2400332351. The reversal of 2400332340 is 432330042.

It is an interprime number because it is at equal distance from previous prime (2400332329) and next prime (2400332351).

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

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 31 ways as a sum of consecutive naturals, for example, 160951 + ... + 175230.

It is an arithmetic number, because the mean of its divisors is an integer number (84717864).

Almost surely, 2^2400332340 is an apocalyptic number.

2400332340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400332340 is an abundant number, since it is smaller than the sum of its proper divisors (5732582604).

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

2400332340 is a wasteful number, since it uses less digits than its factorization.

2400332340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336217 (or 336215 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2400332340 is about 48993.1866691686. The cubic root of 2400332340 is about 1338.9276971305.

Adding to 2400332340 its reverse (432330042), we get a palindrome (2832662382).

The spelling of 2400332340 in words is "two billion, four hundred million, three hundred thirty-two thousand, three hundred forty".