242033020 has 48 divisors (see below), whose sum is σ = 536739840. Its totient is φ = 91423296.

The previous prime is 242033003. The next prime is 242033023. The reversal of 242033020 is 20330242.

It is a junction number, because it is equal to n+sod(n) for n = 242032985 and 242033003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242033023) 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, 144709 + ... + 146371.

It is an arithmetic number, because the mean of its divisors is an integer number (11182080).

Almost surely, 2^242033020 is an apocalyptic number.

242033020 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 242033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268369920).

242033020 is an abundant number, since it is smaller than the sum of its proper divisors (294706820).

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

242033020 is a wasteful number, since it uses less digits than its factorization.

242033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 242033020 is about 15557.4104528999. The cubic root of 242033020 is about 623.1963101319.

Adding to 242033020 its reverse (20330242), we get a palindrome (262363262).

The spelling of 242033020 in words is "two hundred forty-two million, thirty-three thousand, twenty".