242749241856 has 480 divisors, whose sum is σ = 829096684416. Its totient is φ = 67534848000.

The previous prime is 242749241851. The next prime is 242749241857. The reversal of 242749241856 is 658142947242.

242749241856 is a `hidden beast` number, since 24 + 2 + 74 + 92 + 418 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (242749241851) 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 47 ways as a sum of consecutive naturals, for example, 35326101 + ... + 35332971.

Almost surely, 2^242749241856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242749241856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414548342208).

242749241856 is an abundant number, since it is smaller than the sum of its proper divisors (586347442560).

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

242749241856 is a wasteful number, since it uses less digits than its factorization.

242749241856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6964 (or 6945 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 242749241856 in words is "two hundred forty-two billion, seven hundred forty-nine million, two hundred forty-one thousand, eight hundred fifty-six".