242173351680 has 288 divisors, whose sum is σ = 869155370496. Its totient is φ = 57019809792.

The previous prime is 242173351621. The next prime is 242173351687. The reversal of 242173351680 is 86153371242.

242173351680 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 not an unprimeable number, because it can be changed into a prime (242173351687) 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 31 ways as a sum of consecutive naturals, for example, 1042699 + ... + 1253621.

It is an arithmetic number, because the mean of its divisors is an integer number (3017900592).

Almost surely, 2^242173351680 is an apocalyptic number.

242173351680 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 242173351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434577685248).

242173351680 is an abundant number, since it is smaller than the sum of its proper divisors (626982018816).

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

242173351680 is a wasteful number, since it uses less digits than its factorization.

242173351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210983 (or 210969 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 242173351680 in words is "two hundred forty-two billion, one hundred seventy-three million, three hundred fifty-one thousand, six hundred eighty".