242618600 has 144 divisors (see below), whose sum is σ = 691250400. Its totient is φ = 78744960.

The previous prime is 242618557. The next prime is 242618603. The reversal of 242618600 is 6816242.

It is not an unprimeable number, because it can be changed into a prime (242618603) 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 35 ways as a sum of consecutive naturals, for example, 185549 + ... + 186851.

It is an arithmetic number, because the mean of its divisors is an integer number (4800350).

Almost surely, 2^242618600 is an apocalyptic number.

242618600 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 242618600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345625200).

242618600 is an abundant number, since it is smaller than the sum of its proper divisors (448631800).

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

242618600 is a wasteful number, since it uses less digits than its factorization.

242618600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 242618600 is about 15576.2190534160. The cubic root of 242618600 is about 623.6984969583.

The spelling of 242618600 in words is "two hundred forty-two million, six hundred eighteen thousand, six hundred".