242441120 has 48 divisors (see below), whose sum is σ = 573781320. Its totient is φ = 96804864.

The previous prime is 242441113. The next prime is 242441123. The reversal of 242441120 is 21144242.

It can be written as a sum of positive squares in 4 ways, for example, as 174345616 + 68095504 = 13204^2 + 8252^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 242441092 and 242441101.

It is not an unprimeable number, because it can be changed into a prime (242441123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128504 + ... + 130376.

Almost surely, 2^242441120 is an apocalyptic number.

242441120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242441120 is an abundant number, since it is smaller than the sum of its proper divisors (331340200).

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

242441120 is a wasteful number, since it uses less digits than its factorization.

242441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2689 counting only the distinct ones).

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

The square root of 242441120 is about 15570.5208647624. The cubic root of 242441120 is about 623.5463775251.

Adding to 242441120 its reverse (21144242), we get a palindrome (263585362).

The spelling of 242441120 in words is "two hundred forty-two million, four hundred forty-one thousand, one hundred twenty".