2400115440 has 40 divisors (see below), whose sum is σ = 7440358608. Its totient is φ = 640030720.

The previous prime is 2400115433. The next prime is 2400115451. The reversal of 2400115440 is 445110042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

2400115440 is a modest number, since divided by 115440 gives 2400 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5000001 + ... + 5000480.

Almost surely, 2^2400115440 is an apocalyptic number.

2400115440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400115440 is an abundant number, since it is smaller than the sum of its proper divisors (5040243168).

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

2400115440 is a wasteful number, since it uses less digits than its factorization.

2400115440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10000497 (or 10000491 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2400115440 is about 48990.9730460623. The cubic root of 2400115440 is about 1338.8873663034.

Adding to 2400115440 its reverse (445110042), we get a palindrome (2845225482).

The spelling of 2400115440 in words is "two billion, four hundred million, one hundred fifteen thousand, four hundred forty".