242141952 has 144 divisors (see below), whose sum is σ = 705098240. Its totient is φ = 73322496.

The previous prime is 242141927. The next prime is 242141957. The reversal of 242141952 is 259141242.

It is not an unprimeable number, because it can be changed into a prime (242141957) by changing a digit.

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, 788583 + ... + 788889.

Almost surely, 2^242141952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242141952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352549120).

242141952 is an abundant number, since it is smaller than the sum of its proper divisors (462956288).

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

242141952 is a wasteful number, since it uses less digits than its factorization.

242141952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 404 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 242141952 is about 15560.9110273146. The cubic root of 242141952 is about 623.2897902674.

The spelling of 242141952 in words is "two hundred forty-two million, one hundred forty-one thousand, nine hundred fifty-two".