2582772852 has 48 divisors (see below), whose sum is σ = 6592082112. Its totient is φ = 780545280.

The previous prime is 2582772779. The next prime is 2582772869.

2582772852 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23008 + ... + 75464.

It is an arithmetic number, because the mean of its divisors is an integer number (137335044).

Almost surely, 2^2582772852 is an apocalyptic number.

2582772852 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2582772852 is an abundant number, since it is smaller than the sum of its proper divisors (4009309260).

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

2582772852 is a wasteful number, since it uses less digits than its factorization.

2582772852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52848 (or 52846 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 48.

The square root of 2582772852 is about 50820.9883020785. The cubic root of 2582772852 is about 1372.0251456659.

The spelling of 2582772852 in words is "two billion, five hundred eighty-two million, seven hundred seventy-two thousand, eight hundred fifty-two".