2400115968 has 72 divisors (see below), whose sum is σ = 7097585600. Its totient is φ = 800036352.

The previous prime is 2400115901. The next prime is 2400115979. The reversal of 2400115968 is 8695110042.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166708 + ... + 180531.

Almost surely, 2^2400115968 is an apocalyptic number.

It is an amenable number.

2400115968 is an abundant number, since it is smaller than the sum of its proper divisors (4697469632).

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

2400115968 is an equidigital number, since it uses as much as digits as its factorization.

2400115968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347264 (or 347244 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2400115968 is about 48990.9784348098. The cubic root of 2400115968 is about 1338.8874644838.

The spelling of 2400115968 in words is "two billion, four hundred million, one hundred fifteen thousand, nine hundred sixty-eight".