252666260 has 96 divisors (see below), whose sum is σ = 665763840. Its totient is φ = 78249600.

The previous prime is 252666221. The next prime is 252666287. The reversal of 252666260 is 62666252.

252666260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 252666260.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293711 + ... + 294569.

It is an arithmetic number, because the mean of its divisors is an integer number (6935040).

Almost surely, 2^252666260 is an apocalyptic number.

252666260 is a gapful number since it is divisible by the number (20) 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 252666260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332881920).

252666260 is an abundant number, since it is smaller than the sum of its proper divisors (413097580).

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

252666260 is a wasteful number, since it uses less digits than its factorization.

252666260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 252666260 is about 15895.4792315300. The cubic root of 252666260 is about 632.1921283359.

It can be divided in two parts, 2526 and 66260, that added together give a palindrome (68786).

The spelling of 252666260 in words is "two hundred fifty-two million, six hundred sixty-six thousand, two hundred sixty".