242741184 has 112 divisors (see below), whose sum is σ = 738835200. Its totient is φ = 68898816.

The previous prime is 242741179. The next prime is 242741189. The reversal of 242741184 is 481147242.

It is an interprime number because it is at equal distance from previous prime (242741179) and next prime (242741189).

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242741189) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240072 + ... + 241080.

Almost surely, 2^242741184 is an apocalyptic number.

242741184 is a gapful number since it is divisible by the number (24) 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 242741184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369417600).

242741184 is an abundant number, since it is smaller than the sum of its proper divisors (496094016).

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

242741184 is a wasteful number, since it uses less digits than its factorization.

242741184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1200 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 242741184 is about 15580.1535294104. The cubic root of 242741184 is about 623.8035213103.

The spelling of 242741184 in words is "two hundred forty-two million, seven hundred forty-one thousand, one hundred eighty-four".