242844120 has 192 divisors, whose sum is σ = 833414400. Its totient is φ = 61205760.

The previous prime is 242844103. The next prime is 242844127. The reversal of 242844120 is 21448242.

242844120 is a `hidden beast` number, since 242 + 8 + 4 + 412 + 0 = 666.

242844120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242844127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1150815 + ... + 1151025.

It is an arithmetic number, because the mean of its divisors is an integer number (4340700).

Almost surely, 2^242844120 is an apocalyptic number.

242844120 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 242844120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416707200).

242844120 is an abundant number, since it is smaller than the sum of its proper divisors (590570280).

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

242844120 is a wasteful number, since it uses less digits than its factorization.

242844120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 242844120 is about 15583.4566127031. The cubic root of 242844120 is about 623.8916848484.

The spelling of 242844120 in words is "two hundred forty-two million, eight hundred forty-four thousand, one hundred twenty".