2400769344 has 56 divisors (see below), whose sum is σ = 6359834880. Its totient is φ = 799273984.

The previous prime is 2400769331. The next prime is 2400769351. The reversal of 2400769344 is 4439670042.

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 7 ways as a sum of consecutive naturals, for example, 158452 + ... + 172940.

It is an arithmetic number, because the mean of its divisors is an integer number (113568480).

Almost surely, 2^2400769344 is an apocalyptic number.

2400769344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2400769344 is an abundant number, since it is smaller than the sum of its proper divisors (3959065536).

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

2400769344 is a wasteful number, since it uses less digits than its factorization.

2400769344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15367 (or 15357 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 2400769344 is about 48997.6463108178. The cubic root of 2400769344 is about 1339.0089471647.

The spelling of 2400769344 in words is "two billion, four hundred million, seven hundred sixty-nine thousand, three hundred forty-four".