2581288800 has 72 divisors (see below), whose sum is σ = 8402102856. Its totient is φ = 688343040.

The previous prime is 2581288747. The next prime is 2581288813. The reversal of 2581288800 is 88821852.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 535369 + ... + 540168.

It is an arithmetic number, because the mean of its divisors is an integer number (116695873).

Almost surely, 2^2581288800 is an apocalyptic number.

2581288800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2581288800 is an abundant number, since it is smaller than the sum of its proper divisors (5820814056).

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

2581288800 is a wasteful number, since it uses less digits than its factorization.

2581288800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075560 (or 1075547 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The square root of 2581288800 is about 50806.3854254561. The cubic root of 2581288800 is about 1371.7623084115.

The spelling of 2581288800 in words is "two billion, five hundred eighty-one million, two hundred eighty-eight thousand, eight hundred".