242018820 has 96 divisors (see below), whose sum is σ = 759091200. Its totient is φ = 64012032.

The previous prime is 242018801. The next prime is 242018831. The reversal of 242018820 is 28810242.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 66816 + ... + 70344.

It is an arithmetic number, because the mean of its divisors is an integer number (7907200).

Almost surely, 2^242018820 is an apocalyptic number.

242018820 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 242018820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379545600).

242018820 is an abundant number, since it is smaller than the sum of its proper divisors (517072380).

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

242018820 is a wasteful number, since it uses less digits than its factorization.

242018820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 242018820 is about 15556.9540720541. The cubic root of 242018820 is about 623.1841223174.

The spelling of 242018820 in words is "two hundred forty-two million, eighteen thousand, eight hundred twenty".