2564521542 has 96 divisors (see below), whose sum is σ = 6462144000. Its totient is φ = 726822720.

The previous prime is 2564521529. The next prime is 2564521567. The reversal of 2564521542 is 2451254652.

2564521542 is a `hidden beast` number, since 2 + 5 + 64 + 52 + 1 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2564521497 and 2564521506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292884 + ... + 301512.

It is an arithmetic number, because the mean of its divisors is an integer number (67314000).

Almost surely, 2^2564521542 is an apocalyptic number.

2564521542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564521542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231072000).

2564521542 is an abundant number, since it is smaller than the sum of its proper divisors (3897622458).

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

2564521542 is a wasteful number, since it uses less digits than its factorization.

2564521542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8746 (or 8743 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 2564521542 is about 50641.1052604502. The cubic root of 2564521542 is about 1368.7856719796.

The spelling of 2564521542 in words is "two billion, five hundred sixty-four million, five hundred twenty-one thousand, five hundred forty-two".