242585671680 has 576 divisors, whose sum is σ = 921617948160. Its totient is φ = 58525286400.

The previous prime is 242585671649. The next prime is 242585671739. The reversal of 242585671680 is 86176585242.

242585671680 is a `hidden beast` number, since 2 + 42 + 585 + 6 + 7 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 274728519 + ... + 274729401.

It is an arithmetic number, because the mean of its divisors is an integer number (1600031160).

Almost surely, 2^242585671680 is an apocalyptic number.

242585671680 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 242585671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460808974080).

242585671680 is an abundant number, since it is smaller than the sum of its proper divisors (679032276480).

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

242585671680 is a wasteful number, since it uses less digits than its factorization.

242585671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 242585671680 in words is "two hundred forty-two billion, five hundred eighty-five million, six hundred seventy-one thousand, six hundred eighty".