242688247344 has 120 divisors (see below), whose sum is σ = 709212902112. Its totient is φ = 77325050880.

The previous prime is 242688247343. The next prime is 242688247379. The reversal of 242688247344 is 443742886242.

It is not an unprimeable number, because it can be changed into a prime (242688247343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4880334 + ... + 4929810.

Almost surely, 2^242688247344 is an apocalyptic number.

242688247344 is a gapful number since it is divisible by the number (24) 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 242688247344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354606451056).

242688247344 is an abundant number, since it is smaller than the sum of its proper divisors (466524654768).

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

242688247344 is a wasteful number, since it uses less digits than its factorization.

242688247344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50995 (or 50986 counting only the distinct ones).

The product of its digits is 16515072, while the sum is 54.

The spelling of 242688247344 in words is "two hundred forty-two billion, six hundred eighty-eight million, two hundred forty-seven thousand, three hundred forty-four".