2561828896 has 48 divisors (see below), whose sum is σ = 5507460000. Its totient is φ = 1163335680.

The previous prime is 2561828861. The next prime is 2561828909. The reversal of 2561828896 is 6988281652.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 436735 + ... + 442561.

It is an arithmetic number, because the mean of its divisors is an integer number (114738750).

Almost surely, 2^2561828896 is an apocalyptic number.

It is an amenable number.

2561828896 is an abundant number, since it is smaller than the sum of its proper divisors (2945631104).

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

2561828896 is a wasteful number, since it uses less digits than its factorization.

2561828896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7097 (or 7089 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 55.

The square root of 2561828896 is about 50614.5127013982. The cubic root of 2561828896 is about 1368.3064473123.

The spelling of 2561828896 in words is "two billion, five hundred sixty-one million, eight hundred twenty-eight thousand, eight hundred ninety-six".