2404264400 has 30 divisors (see below), whose sum is σ = 5776246182. Its totient is φ = 961705600.

The previous prime is 2404264399. The next prime is 2404264411. The reversal of 2404264400 is 44624042.

It can be written as a sum of positive squares in 3 ways, for example, as 187361344 + 2216903056 = 13688^2 + 47084^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2404264400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3004931 + ... + 3005730.

Almost surely, 2^2404264400 is an apocalyptic number.

2404264400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2404264400 is an abundant number, since it is smaller than the sum of its proper divisors (3371981782).

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

2404264400 is a wasteful number, since it uses less digits than its factorization.

2404264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010679 (or 6010668 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2404264400 is about 49033.2988896321. The cubic root of 2404264400 is about 1339.6584114828.

Adding to 2404264400 its reverse (44624042), we get a palindrome (2448888442).

The spelling of 2404264400 in words is "two billion, four hundred four million, two hundred sixty-four thousand, four hundred".