2563538688 has 108 divisors (see below), whose sum is σ = 7450363648. Its totient is φ = 847687680.

The previous prime is 2563538687. The next prime is 2563538689. The reversal of 2563538688 is 8868353652.

2563538688 is a `hidden beast` number, since 25 + 6 + 3 + 538 + 6 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (2563538687) and next prime (2563538689).

It is a super-2 number, since 2×2563538688² = 13143461209745522688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563538687) 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, 288228 + ... + 296988.

Almost surely, 2^2563538688 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 2563538688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725181824).

2563538688 is an abundant number, since it is smaller than the sum of its proper divisors (4886824960).

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

2563538688 is a wasteful number, since it uses less digits than its factorization.

2563538688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8910 (or 8893 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 2563538688 is about 50631.4002176515. The cubic root of 2563538688 is about 1368.6107870674.

The spelling of 2563538688 in words is "two billion, five hundred sixty-three million, five hundred thirty-eight thousand, six hundred eighty-eight".