2952506952 has 48 divisors (see below), whose sum is σ = 8078828940. Its totient is φ = 974020608.

The previous prime is 2952506939. The next prime is 2952506971. The reversal of 2952506952 is 2596052592.

2952506952 is a `hidden beast` number, since 2 + 9 + 52 + 506 + 95 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2661940836 + 290566116 = 51594^2 + 17046^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2952506898 and 2952506907.

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, 204393 + ... + 218360.

Almost surely, 2^2952506952 is an apocalyptic number.

It is an amenable number.

2952506952 is an abundant number, since it is smaller than the sum of its proper divisors (5126321988).

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

2952506952 is a wasteful number, since it uses less digits than its factorization.

2952506952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422862 (or 422855 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 2952506952 is about 54336.9759187977. The cubic root of 2952506952 is about 1434.5982926217.

The spelling of 2952506952 in words is "two billion, nine hundred fifty-two million, five hundred six thousand, nine hundred fifty-two".