242240440 has 64 divisors (see below), whose sum is σ = 589881600. Its totient is φ = 88998912.

The previous prime is 242240437. The next prime is 242240441. The reversal of 242240440 is 44042242.

242240440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242240441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114916 + ... + 117004.

It is an arithmetic number, because the mean of its divisors is an integer number (9216900).

Almost surely, 2^242240440 is an apocalyptic number.

242240440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294940800).

242240440 is an abundant number, since it is smaller than the sum of its proper divisors (347641160).

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

242240440 is a wasteful number, since it uses less digits than its factorization.

242240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 242240440 is about 15564.0753017968. The cubic root of 242240440 is about 623.3742837411.

Adding to 242240440 its reverse (44042242), we get a palindrome (286282682).

The spelling of 242240440 in words is "two hundred forty-two million, two hundred forty thousand, four hundred forty".