2587520800 has 72 divisors (see below), whose sum is σ = 6325188912. Its totient is φ = 1033632000.

The previous prime is 2587520773. The next prime is 2587520809. The reversal of 2587520800 is 80257852.

It is a self number, because there is not a number n which added to its sum of digits gives 2587520800.

It is not an unprimeable number, because it can be changed into a prime (2587520809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 775135 + ... + 778465.

It is an arithmetic number, because the mean of its divisors is an integer number (87849846).

Almost surely, 2^2587520800 is an apocalyptic number.

2587520800 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 2587520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162594456).

2587520800 is an abundant number, since it is smaller than the sum of its proper divisors (3737668112).

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

2587520800 is a wasteful number, since it uses less digits than its factorization.

2587520800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 2587520800 is about 50867.6793258745. The cubic root of 2587520800 is about 1372.8653687790.

The spelling of 2587520800 in words is "two billion, five hundred eighty-seven million, five hundred twenty thousand, eight hundred".