2572882752 has 56 divisors (see below), whose sum is σ = 7426281312. Its totient is φ = 779660800.

The previous prime is 2572882693. The next prime is 2572882771.

2572882752 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2572882752³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 606999 + ... + 611222.

Almost surely, 2^2572882752 is an apocalyptic number.

2572882752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2572882752 is an abundant number, since it is smaller than the sum of its proper divisors (4853398560).

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

2572882752 is a wasteful number, since it uses less digits than its factorization.

2572882752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218247 (or 1218237 counting only the distinct ones).

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

The square root of 2572882752 is about 50723.5916709375. The cubic root of 2572882752 is about 1370.2716267497.

The spelling of 2572882752 in words is "two billion, five hundred seventy-two million, eight hundred eighty-two thousand, seven hundred fifty-two".