2575665752 has 64 divisors (see below), whose sum is σ = 5449559040. Its totient is φ = 1130659200.

The previous prime is 2575665737. The next prime is 2575665773.

2575665752 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2575665752.

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 15 ways as a sum of consecutive naturals, for example, 2582918 + ... + 2583914.

It is an arithmetic number, because the mean of its divisors is an integer number (85149360).

Almost surely, 2^2575665752 is an apocalyptic number.

2575665752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2575665752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724779520).

2575665752 is an abundant number, since it is smaller than the sum of its proper divisors (2873893288).

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

2575665752 is a wasteful number, since it uses less digits than its factorization.

2575665752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1988 counting only the distinct ones).

The product of its digits is 4410000, while the sum is 50.

The square root of 2575665752 is about 50751.0172508887. The cubic root of 2575665752 is about 1370.7655075007.

The spelling of 2575665752 in words is "two billion, five hundred seventy-five million, six hundred sixty-five thousand, seven hundred fifty-two".