242304060 has 192 divisors, whose sum is σ = 758661120. Its totient is φ = 57507840.

The previous prime is 242304047. The next prime is 242304067. The reversal of 242304060 is 60403242.

It is a super-2 number, since 2×242304060² = 117422514984967200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242304067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2497932 + ... + 2498028.

It is an arithmetic number, because the mean of its divisors is an integer number (3951360).

Almost surely, 2^242304060 is an apocalyptic number.

242304060 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 242304060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379330560).

242304060 is an abundant number, since it is smaller than the sum of its proper divisors (516357060).

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

242304060 is a wasteful number, since it uses less digits than its factorization.

242304060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 242304060 is about 15566.1189768034. The cubic root of 242304060 is about 623.4288515644.

The spelling of 242304060 in words is "two hundred forty-two million, three hundred four thousand, sixty".