242411024 has 40 divisors (see below), whose sum is σ = 509451768. Its totient is φ = 111288320.

The previous prime is 242411017. The next prime is 242411047. The reversal of 242411024 is 420114242.

It can be written as a sum of positive squares in 4 ways, for example, as 48400 + 242362624 = 220^2 + 15568^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242410987 and 242411005.

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, 284 + ... + 22020.

Almost surely, 2^242411024 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 242411024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254725884).

242411024 is an abundant number, since it is smaller than the sum of its proper divisors (267040744).

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

242411024 is a wasteful number, since it uses less digits than its factorization.

242411024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21803 (or 21797 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 242411024 is about 15569.5543931096. The cubic root of 242411024 is about 623.5205746575.

Adding to 242411024 its reverse (420114242), we get a palindrome (662525266).

The spelling of 242411024 in words is "two hundred forty-two million, four hundred eleven thousand, twenty-four".