2559941856 has 144 divisors (see below), whose sum is σ = 7469280000. Its totient is φ = 831285504.

The previous prime is 2559941803. The next prime is 2559941861. The reversal of 2559941856 is 6581499552.

2559941856 is a `hidden beast` number, since 2 + 5 + 599 + 41 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2559941856² = 13106604612201449472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5129895 + ... + 5130393.

It is an arithmetic number, because the mean of its divisors is an integer number (51870000).

Almost surely, 2^2559941856 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 2559941856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734640000).

2559941856 is an abundant number, since it is smaller than the sum of its proper divisors (4909338144).

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

2559941856 is a wasteful number, since it uses less digits than its factorization.

2559941856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 930 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 54.

The square root of 2559941856 is about 50595.8679735806. The cubic root of 2559941856 is about 1367.9704005086.

The spelling of 2559941856 in words is "two billion, five hundred fifty-nine million, nine hundred forty-one thousand, eight hundred fifty-six".