2400390770904 has 96 divisors (see below), whose sum is σ = 7866826924320. Its totient is φ = 645483230208.

The previous prime is 2400390770893. The next prime is 2400390770909. The reversal of 2400390770904 is 4090770930042.

2400390770904 is a `hidden beast` number, since 2 + 400 + 3 + 90 + 7 + 70 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2400390770904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400390770909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140070259 + ... + 140087394.

It is an arithmetic number, because the mean of its divisors is an integer number (81946113795).

Almost surely, 2^{2400390770904} is an apocalyptic number.

2400390770904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2400390770904 is an abundant number, since it is smaller than the sum of its proper divisors (5466436153416).

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

2400390770904 is a wasteful number, since it uses less digits than its factorization.

2400390770904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280157689 (or 280157682 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 2400390770904 in words is "two trillion, four hundred billion, three hundred ninety million, seven hundred seventy thousand, nine hundred four".