2400724460 has 24 divisors (see below), whose sum is σ = 5070670416. Its totient is φ = 954737600.

The previous prime is 2400724427. The next prime is 2400724483. The reversal of 2400724460 is 644270042.

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, 343466 + ... + 350385.

It is an arithmetic number, because the mean of its divisors is an integer number (211277934).

Almost surely, 2^2400724460 is an apocalyptic number.

2400724460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400724460 is an abundant number, since it is smaller than the sum of its proper divisors (2669945956).

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

2400724460 is a wasteful number, since it uses less digits than its factorization.

2400724460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694033 (or 694031 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 2400724460 is about 48997.1882866762. The cubic root of 2400724460 is about 1339.0006025546. Note that the first 3 decimals are identical.

The spelling of 2400724460 in words is "two billion, four hundred million, seven hundred twenty-four thousand, four hundred sixty".