242012160 has 312 divisors, whose sum is σ = 912346344. Its totient is φ = 58982400.

The previous prime is 242012137. The next prime is 242012179. The reversal of 242012160 is 61210242.

It can be written as a sum of positive squares in 4 ways, for example, as 40144896 + 201867264 = 6336^2 + 14208^2 .

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2396110 + ... + 2396210.

It is an arithmetic number, because the mean of its divisors is an integer number (2924187).

Almost surely, 2^242012160 is an apocalyptic number.

242012160 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 242012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456173172).

242012160 is an abundant number, since it is smaller than the sum of its proper divisors (670334184).

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

242012160 is a wasteful number, since it uses less digits than its factorization.

242012160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 242012160 is about 15556.7400183972. The cubic root of 242012160 is about 623.1784058964.

The spelling of 242012160 in words is "two hundred forty-two million, twelve thousand, one hundred sixty".