2563881696 has 72 divisors (see below), whose sum is σ = 7346803464. Its totient is φ = 848090880.

The previous prime is 2563881689. The next prime is 2563881701. The reversal of 2563881696 is 6961883652.

It is a happy number.

2563881696 is a `hidden beast` number, since 256 + 388 + 1 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3750 + ... + 71706.

It is an arithmetic number, because the mean of its divisors is an integer number (102038937).

Almost surely, 2^2563881696 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 2563881696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673401732).

2563881696 is an abundant number, since it is smaller than the sum of its proper divisors (4782921768).

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

2563881696 is a wasteful number, since it uses less digits than its factorization.

2563881696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68104 (or 68093 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 2563881696 is about 50634.7874094481. The cubic root of 2563881696 is about 1368.6718255471.

The spelling of 2563881696 in words is "two billion, five hundred sixty-three million, eight hundred eighty-one thousand, six hundred ninety-six".