242474485600 has 144 divisors (see below), whose sum is σ = 619646340096. Its totient is φ = 92538432000.

The previous prime is 242474485579. The next prime is 242474485607. The reversal of 242474485600 is 6584474242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242474485607) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1691947 + ... + 1829653.

It is an arithmetic number, because the mean of its divisors is an integer number (4303099584).

Almost surely, 2^242474485600 is an apocalyptic number.

242474485600 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 242474485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309823170048).

242474485600 is an abundant number, since it is smaller than the sum of its proper divisors (377171854496).

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

242474485600 is a wasteful number, since it uses less digits than its factorization.

242474485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137829 (or 137816 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 46.

The spelling of 242474485600 in words is "two hundred forty-two billion, four hundred seventy-four million, four hundred eighty-five thousand, six hundred".