242180004 has 96 divisors (see below), whose sum is σ = 659957760. Its totient is φ = 68342400.

The previous prime is 242179979. The next prime is 242180017. The reversal of 242180004 is 400081242.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152197 + ... + 153779.

It is an arithmetic number, because the mean of its divisors is an integer number (6874560).

Almost surely, 2^242180004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242180004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329978880).

242180004 is an abundant number, since it is smaller than the sum of its proper divisors (417777756).

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

242180004 is a wasteful number, since it uses less digits than its factorization.

242180004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 242180004 is about 15562.1336583388. The cubic root of 242180004 is about 623.3224380326.

The spelling of 242180004 in words is "two hundred forty-two million, one hundred eighty thousand, four".