2561585152 has 78 divisors (see below), whose sum is σ = 5959345668. Its totient is φ = 1097736192.

The previous prime is 2561585077. The next prime is 2561585189. The reversal of 2561585152 is 2515851652.

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 5 ways as a sum of consecutive naturals, for example, 194323 + ... + 207085.

Almost surely, 2^2561585152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561585152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979672834).

2561585152 is an abundant number, since it is smaller than the sum of its proper divisors (3397760516).

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

2561585152 is an equidigital number, since it uses as much as digits as its factorization.

2561585152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12801 (or 12772 counting only the distinct ones).

The product of its digits is 120000, while the sum is 40.

The square root of 2561585152 is about 50612.1047971728. The cubic root of 2561585152 is about 1368.2630503124.

The spelling of 2561585152 in words is "two billion, five hundred sixty-one million, five hundred eighty-five thousand, one hundred fifty-two".