2585484800 has 120 divisors (see below), whose sum is σ = 6495837216. Its totient is φ = 1019658240.

The previous prime is 2585484791. The next prime is 2585484823. The reversal of 2585484800 is 84845852.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 933017 + ... + 935783.

Almost surely, 2^2585484800 is an apocalyptic number.

2585484800 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 2585484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247918608).

2585484800 is an abundant number, since it is smaller than the sum of its proper divisors (3910352416).

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

2585484800 is an equidigital number, since it uses as much as digits as its factorization.

2585484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 44.

The square root of 2585484800 is about 50847.6626798125. The cubic root of 2585484800 is about 1372.5051929514.

The spelling of 2585484800 in words is "two billion, five hundred eighty-five million, four hundred eighty-four thousand, eight hundred".