2561659548 has 48 divisors (see below), whose sum is σ = 6838992384. Its totient is φ = 731056320.

The previous prime is 2561659537. The next prime is 2561659561. The reversal of 2561659548 is 8459561652.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2561659548.

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 15 ways as a sum of consecutive naturals, for example, 57318 + ... + 91698.

It is an arithmetic number, because the mean of its divisors is an integer number (142479008).

Almost surely, 2^2561659548 is an apocalyptic number.

2561659548 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2561659548 is an abundant number, since it is smaller than the sum of its proper divisors (4277332836).

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

2561659548 is a wasteful number, since it uses less digits than its factorization.

2561659548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35282 (or 35280 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 51.

The square root of 2561659548 is about 50612.8397543548. The cubic root of 2561659548 is about 1368.2762963178.

The spelling of 2561659548 in words is "two billion, five hundred sixty-one million, six hundred fifty-nine thousand, five hundred forty-eight".