242173680 has 120 divisors (see below), whose sum is σ = 873350352. Its totient is φ = 55351296.

The previous prime is 242173661. The next prime is 242173691. The reversal of 242173680 is 86371242.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1464 + ... + 22056.

Almost surely, 2^242173680 is an apocalyptic number.

242173680 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 242173680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436675176).

242173680 is an abundant number, since it is smaller than the sum of its proper divisors (631176672).

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

242173680 is a wasteful number, since it uses less digits than its factorization.

242173680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20623 (or 20610 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 242173680 is about 15561.9304715064. The cubic root of 242173680 is about 623.3170124190.

The spelling of 242173680 in words is "two hundred forty-two million, one hundred seventy-three thousand, six hundred eighty".