2468904400 has 60 divisors (see below), whose sum is σ = 5974971372. Its totient is φ = 980331520.

The previous prime is 2468904397. The next prime is 2468904413. The reversal of 2468904400 is 44098642.

It can be written as a sum of positive squares in 6 ways, for example, as 7056 + 2468897344 = 84^2 + 49688^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2468904400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32274 + ... + 77326.

Almost surely, 2^2468904400 is an apocalyptic number.

2468904400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2468904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987485686).

2468904400 is an abundant number, since it is smaller than the sum of its proper divisors (3506066972).

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

2468904400 is a wasteful number, since it uses less digits than its factorization.

2468904400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45208 (or 45197 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 2468904400 is about 49688.0710030084. The cubic root of 2468904400 is about 1351.5582190449.

The spelling of 2468904400 in words is "two billion, four hundred sixty-eight million, nine hundred four thousand, four hundred".