242080 has 48 divisors (see below), whose sum is σ = 612360. Its totient is φ = 90112.

The previous prime is 242069. The next prime is 242083. The reversal of 242080 is 80242.

242080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 190096 + 51984 = 436^2 + 228^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (242083) by changing a digit.

242080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2676 + ... + 2764.

2²⁴²⁰⁸⁰ is an apocalyptic number.

242080 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 242080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306180).

242080 is an abundant number, since it is smaller than the sum of its proper divisors (370280).

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

242080 is a wasteful number, since it uses less digits than its factorization.

242080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

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

The square root of 242080 is about 492.0162598939. The cubic root of 242080 is about 62.3236629518.

Subtracting from 242080 its sum of digits (16), we obtain a square (242064 = 492²).

It can be divided in two parts, 2420 and 80, that multiplied together give a square (193600 = 440²).

The spelling of 242080 in words is "two hundred forty-two thousand, eighty".