2468504000 has 112 divisors (see below), whose sum is σ = 6183721440. Its totient is φ = 976025600.

The previous prime is 2468503993. The next prime is 2468504011. The reversal of 2468504000 is 4058642.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 710267 + ... + 713733.

Almost surely, 2^2468504000 is an apocalyptic number.

2468504000 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 2468504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091860720).

2468504000 is an abundant number, since it is smaller than the sum of its proper divisors (3715217440).

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

2468504000 is an equidigital number, since it uses as much as digits as its factorization.

2468504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 2468504000 is about 49684.0417035490. The cubic root of 2468504000 is about 1351.4851511194.

The spelling of 2468504000 in words is "two billion, four hundred sixty-eight million, five hundred four thousand".