242441024 has 84 divisors (see below), whose sum is σ = 566118756. Its totient is φ = 102703104.

The previous prime is 242441011. The next prime is 242441033. The reversal of 242441024 is 420144242.

242441024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 113209600 + 129231424 = 10640^2 + 11368^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303794 + ... + 304590.

It is an arithmetic number, because the mean of its divisors is an integer number (6739509).

Almost surely, 2^242441024 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 242441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283059378).

242441024 is an abundant number, since it is smaller than the sum of its proper divisors (323677732).

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

242441024 is an equidigital number, since it uses as much as digits as its factorization.

242441024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 242441024 is about 15570.5177820135. The cubic root of 242441024 is about 623.5462952227.

Adding to 242441024 its reverse (420144242), we get a palindrome (662585266).

The spelling of 242441024 in words is "two hundred forty-two million, four hundred forty-one thousand, twenty-four".