242533320 has 64 divisors (see below), whose sum is σ = 734840640. Its totient is φ = 64032000.

The previous prime is 242533289. The next prime is 242533349. The reversal of 242533320 is 23335242.

242533320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242533320² = 117644822620444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2115 + ... + 22125.

It is an arithmetic number, because the mean of its divisors is an integer number (11481885).

Almost surely, 2^242533320 is an apocalyptic number.

242533320 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 242533320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367420320).

242533320 is an abundant number, since it is smaller than the sum of its proper divisors (492307320).

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

242533320 is a wasteful number, since it uses less digits than its factorization.

242533320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20126 (or 20122 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 242533320 is about 15573.4813063746. The cubic root of 242533320 is about 623.6254120960.

Adding to 242533320 its reverse (23335242), we get a palindrome (265868562).

The spelling of 242533320 in words is "two hundred forty-two million, five hundred thirty-three thousand, three hundred twenty".