242411072 has 56 divisors (see below), whose sum is σ = 504943872. Its totient is φ = 115315200.

The previous prime is 242411047. The next prime is 242411093. The reversal of 242411072 is 270114242.

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 7 ways as a sum of consecutive naturals, for example, 120023 + ... + 122025.

Almost surely, 2^242411072 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 242411072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252471936).

242411072 is an abundant number, since it is smaller than the sum of its proper divisors (262532800).

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

242411072 is a wasteful number, since it uses less digits than its factorization.

242411072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 242411072 is about 15569.5559345795. Note that the first 3 decimals coincide. The cubic root of 242411072 is about 623.5206158121.

The spelling of 242411072 in words is "two hundred forty-two million, four hundred eleven thousand, seventy-two".