2952882592 has 48 divisors (see below), whose sum is σ = 6715058112. Its totient is φ = 1263262720.

The previous prime is 2952882557. The next prime is 2952882593.

It is a happy number.

2952882592 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2952882593) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240748 + ... + 252715.

It is an arithmetic number, because the mean of its divisors is an integer number (139897044).

Almost surely, 2^2952882592 is an apocalyptic number.

2952882592 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2952882592 is an abundant number, since it is smaller than the sum of its proper divisors (3762175520).

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

2952882592 is a wasteful number, since it uses less digits than its factorization.

2952882592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493501 (or 493493 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 52.

The square root of 2952882592 is about 54340.4323869437. The cubic root of 2952882592 is about 1434.6591301472.

The spelling of 2952882592 in words is "two billion, nine hundred fifty-two million, eight hundred eighty-two thousand, five hundred ninety-two".