2563538176 has 72 divisors (see below), whose sum is σ = 5237414784. Its totient is φ = 1251932160.

The previous prime is 2563538129. The next prime is 2563538183. The reversal of 2563538176 is 6718353652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2607381 + ... + 2608363.

It is an arithmetic number, because the mean of its divisors is an integer number (72741872).

Almost surely, 2^2563538176 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 2563538176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618707392).

2563538176 is an abundant number, since it is smaller than the sum of its proper divisors (2673876608).

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

2563538176 is an equidigital number, since it uses as much as digits as its factorization.

2563538176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1213 counting only the distinct ones).

The product of its digits is 907200, while the sum is 46.

The square root of 2563538176 is about 50631.3951615003. The cubic root of 2563538176 is about 1368.6106959526.

The spelling of 2563538176 in words is "two billion, five hundred sixty-three million, five hundred thirty-eight thousand, one hundred seventy-six".