252742060 has 72 divisors (see below), whose sum is σ = 572493600. Its totient is φ = 93689856.

The previous prime is 252742051. The next prime is 252742067. The reversal of 252742060 is 60247252.

It is not an unprimeable number, because it can be changed into a prime (252742067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421641 + ... + 422239.

It is an arithmetic number, because the mean of its divisors is an integer number (7951300).

Almost surely, 2^252742060 is an apocalyptic number.

252742060 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 252742060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286246800).

252742060 is an abundant number, since it is smaller than the sum of its proper divisors (319751540).

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

252742060 is a wasteful number, since it uses less digits than its factorization.

252742060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 252742060 is about 15897.8633784544. The cubic root of 252742060 is about 632.2553413296.

The spelling of 252742060 in words is "two hundred fifty-two million, seven hundred forty-two thousand, sixty".