242444020 has 72 divisors (see below), whose sum is σ = 630129024. Its totient is φ = 76722048.

The previous prime is 242444011. The next prime is 242444107. The reversal of 242444020 is 20444242.

242444020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242443982 and 242444000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18537 + ... + 28783.

It is an arithmetic number, because the mean of its divisors is an integer number (8751792).

Almost surely, 2^242444020 is an apocalyptic number.

242444020 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 242444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315064512).

242444020 is an abundant number, since it is smaller than the sum of its proper divisors (387685004).

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

242444020 is a wasteful number, since it uses less digits than its factorization.

242444020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10289 (or 10274 counting only the distinct ones).

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

The square root of 242444020 is about 15570.6139891785. The cubic root of 242444020 is about 623.5488637333.

Adding to 242444020 its reverse (20444242), we get a palindrome (262888262).

The spelling of 242444020 in words is "two hundred forty-two million, four hundred forty-four thousand, twenty".