242261118 has 120 divisors (see below), whose sum is σ = 632648016. Its totient is φ = 68999040.

The previous prime is 242261083. The next prime is 242261119. The reversal of 242261118 is 811162242.

242261118 is a `hidden beast` number, since 2 + 42 + 2 + 611 + 1 + 8 = 666.

242261118 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 242261091 and 242261100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242261119) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 332871 + ... + 333597.

Almost surely, 2^242261118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242261118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316324008).

242261118 is an abundant number, since it is smaller than the sum of its proper divisors (390386898).

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

242261118 is a wasteful number, since it uses less digits than its factorization.

242261118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 760 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 242261118 is about 15564.7395737931. The cubic root of 242261118 is about 623.3920206182.

The spelling of 242261118 in words is "two hundred forty-two million, two hundred sixty-one thousand, one hundred eighteen".