2561883856 has 60 divisors (see below), whose sum is σ = 5868807780. Its totient is φ = 1079930880.

The previous prime is 2561883853. The next prime is 2561883869. The reversal of 2561883856 is 6583881652.

2561883856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 160883856 + 2401000000 = 12684^2 + 49000^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561883851) 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, 21040 + ... + 74608.

It is an arithmetic number, because the mean of its divisors is an integer number (97813463).

Almost surely, 2^2561883856 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 2561883856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934403890).

2561883856 is an abundant number, since it is smaller than the sum of its proper divisors (3306923924).

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

2561883856 is a wasteful number, since it uses less digits than its factorization.

2561883856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53652 (or 53639 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 52.

The square root of 2561883856 is about 50615.0556257721. The cubic root of 2561883856 is about 1368.3162321948.

The spelling of 2561883856 in words is "two billion, five hundred sixty-one million, eight hundred eighty-three thousand, eight hundred fifty-six".