2400241092048 has 80 divisors (see below), whose sum is σ = 6928070414400. Its totient is φ = 795610615680.

The previous prime is 2400241092001. The next prime is 2400241092059. The reversal of 2400241092048 is 8402901420042.

2400241092048 is a `hidden beast` number, since 2 + 400 + 2 + 41 + 0 + 9 + 204 + 8 = 666.

It is a super-2 number, since 2×2400241092048² (a number of 26 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 15442543 + ... + 15597198.

It is an arithmetic number, because the mean of its divisors is an integer number (86600880180).

Almost surely, 2^{2400241092048} is an apocalyptic number.

It is an amenable number.

2400241092048 is an abundant number, since it is smaller than the sum of its proper divisors (4527829322352).

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

2400241092048 is a wasteful number, since it uses less digits than its factorization.

2400241092048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31039937 (or 31039925 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 2400241092048 in words is "two trillion, four hundred billion, two hundred forty-one million, ninety-two thousand, forty-eight".