2563931136 has 352 divisors, whose sum is σ = 8070092800. Its totient is φ = 716636160.

The previous prime is 2563931129. The next prime is 2563931147. The reversal of 2563931136 is 6311393652.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2563931094 and 2563931103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23522250 + ... + 23522358.

It is an arithmetic number, because the mean of its divisors is an integer number (22926400).

Almost surely, 2^2563931136 is an apocalyptic number.

2563931136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2563931136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035046400).

2563931136 is an abundant number, since it is smaller than the sum of its proper divisors (5506161664).

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

2563931136 is a wasteful number, since it uses less digits than its factorization.

2563931136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its digits is 87480, while the sum is 39.

The square root of 2563931136 is about 50635.2756090060. The cubic root of 2563931136 is about 1368.6806229759.

The spelling of 2563931136 in words is "two billion, five hundred sixty-three million, nine hundred thirty-one thousand, one hundred thirty-six".