242024020 has 48 divisors (see below), whose sum is σ = 585083520. Its totient is φ = 82376064.

The previous prime is 242024011. The next prime is 242024089. The reversal of 242024020 is 20420242.

It is a junction number, because it is equal to n+sod(n) for n = 242023985 and 242024003.

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 15 ways as a sum of consecutive naturals, for example, 13242 + ... + 25678.

It is an arithmetic number, because the mean of its divisors is an integer number (12189240).

Almost surely, 2^242024020 is an apocalyptic number.

242024020 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 242024020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292541760).

242024020 is an abundant number, since it is smaller than the sum of its proper divisors (343059500).

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

242024020 is a wasteful number, since it uses less digits than its factorization.

242024020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12592 (or 12590 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 242024020 is about 15557.1211989879. The cubic root of 242024020 is about 623.1885855160.

Adding to 242024020 its reverse (20420242), we get a palindrome (262444262).

The spelling of 242024020 in words is "two hundred forty-two million, twenty-four thousand, twenty".