2561542524 has 72 divisors (see below), whose sum is σ = 7077103488. Its totient is φ = 777692160.

The previous prime is 2561542519. The next prime is 2561542573. The reversal of 2561542524 is 4252451652.

2561542524 is a `hidden beast` number, since 2 + 5 + 61 + 542 + 52 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48537 + ... + 86480.

It is an arithmetic number, because the mean of its divisors is an integer number (98293104).

Almost surely, 2^2561542524 is an apocalyptic number.

It is an amenable number.

2561542524 is an abundant number, since it is smaller than the sum of its proper divisors (4515560964).

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

2561542524 is a wasteful number, since it uses less digits than its factorization.

2561542524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135075 (or 135070 counting only the distinct ones).

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

The square root of 2561542524 is about 50611.6836708679. The cubic root of 2561542524 is about 1368.2554603974.

The spelling of 2561542524 in words is "two billion, five hundred sixty-one million, five hundred forty-two thousand, five hundred twenty-four".