242008 has 24 divisors (see below), whose sum is σ = 494100. Its totient is φ = 111072.

The previous prime is 241993. The next prime is 242009. The reversal of 242008 is 800242.

242008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 241982 and 242000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1263 + ... + 1441.

2²⁴²⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247050).

242008 is an abundant number, since it is smaller than the sum of its proper divisors (252092).

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

242008 is a wasteful number, since it uses less digits than its factorization.

242008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 242008 is about 491.9430861390. The cubic root of 242008 is about 62.3174835226.

It can be divided in two parts, 24200 and 8, that multiplied together give a square (193600 = 440²).

The spelling of 242008 in words is "two hundred forty-two thousand, eight".