2562815952 has 60 divisors (see below), whose sum is σ = 7366187140. Its totient is φ = 831181824.

The previous prime is 2562815939. The next prime is 2562815971. The reversal of 2562815952 is 2595182652.

2562815952 is a `hidden beast` number, since 2 + 5 + 628 + 15 + 9 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1973491776 + 589324176 = 44424^2 + 24276^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2562815898 and 2562815907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235177 + ... + 245832.

Almost surely, 2^2562815952 is an apocalyptic number.

It is an amenable number.

2562815952 is an abundant number, since it is smaller than the sum of its proper divisors (4803371188).

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

2562815952 is a wasteful number, since it uses less digits than its factorization.

2562815952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481060 (or 481051 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 2562815952 is about 50624.2624835167. The cubic root of 2562815952 is about 1368.4821579370.

The spelling of 2562815952 in words is "two billion, five hundred sixty-two million, eight hundred fifteen thousand, nine hundred fifty-two".