2400804004 has 9 divisors (see below), whose sum is σ = 4201578507. Its totient is φ = 1200353004.

The previous prime is 2400804001. The next prime is 2400804013. The reversal of 2400804004 is 4004080042.

The square root of 2400804004 is 48998.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2400804001) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 85747 + ... + 110245.

Almost surely, 2^2400804004 is an apocalyptic number.

2400804004 is the 48998-th square number.

It is an amenable number.

2400804004 is a deficient number, since it is larger than the sum of its proper divisors (1800774503).

2400804004 is an frugal number, since it uses more digits than its factorization.

2400804004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49002 (or 24501 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The cubic root of 2400804004 is about 1339.0153909084.

Multiplying 2400804004 by its product of nonzero digits (1024), we get a square (2458423300096 = 1567936²).

Adding to 2400804004 its reverse (4004080042), we get a palindrome (6404884046).

It can be divided in two parts, 2400 and 804004, that added together give a square (806404 = 898²).

The spelling of 2400804004 in words is "two billion, four hundred million, eight hundred four thousand, four".