242252544 has 144 divisors (see below), whose sum is σ = 680652000. Its totient is φ = 76382208.

The previous prime is 242252531. The next prime is 242252581. The reversal of 242252544 is 445252242.

Its product of digits (25600) is a multiple of the sum of its prime divisors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1625782 + ... + 1625930.

It is an arithmetic number, because the mean of its divisors is an integer number (4726750).

Almost surely, 2^242252544 is an apocalyptic number.

242252544 is a gapful number since it is divisible by the number (24) 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 242252544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340326000).

242252544 is an abundant number, since it is smaller than the sum of its proper divisors (438399456).

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

242252544 is a wasteful number, since it uses less digits than its factorization.

242252544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its digits is 25600, while the sum is 30.

The square root of 242252544 is about 15564.4641411132. The cubic root of 242252544 is about 623.3846662584.

The spelling of 242252544 in words is "two hundred forty-two million, two hundred fifty-two thousand, five hundred forty-four".