242038224020 has 48 divisors (see below), whose sum is σ = 517432164480. Its totient is φ = 95075481984.

The previous prime is 242038223983. The next prime is 242038224037. The reversal of 242038224020 is 20422830242.

242038224020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1035002 + ... + 1247118.

It is an arithmetic number, because the mean of its divisors is an integer number (10779836760).

Almost surely, 2^242038224020 is an apocalyptic number.

242038224020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242038224020 is an abundant number, since it is smaller than the sum of its proper divisors (275393940460).

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

242038224020 is a wasteful number, since it uses less digits than its factorization.

242038224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213152 (or 213150 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The spelling of 242038224020 in words is "two hundred forty-two billion, thirty-eight million, two hundred twenty-four thousand, twenty".