242649667584 has 216 divisors, whose sum is σ = 739663486380. Its totient is φ = 76624109568.

The previous prime is 242649667571. The next prime is 242649667643. The reversal of 242649667584 is 485766946242.

It is a happy number.

242649667584 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 49 + 6 + 6 + 7 + 584 = 666.

242649667584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242649667584² (a number of 24 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6635719 + ... + 6672185.

Almost surely, 2^242649667584 is an apocalyptic number.

242649667584 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 242649667584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369831743190).

242649667584 is an abundant number, since it is smaller than the sum of its proper divisors (497013818796).

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

242649667584 is a wasteful number, since it uses less digits than its factorization.

242649667584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36533 (or 36491 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 242649667584 in words is "two hundred forty-two billion, six hundred forty-nine million, six hundred sixty-seven thousand, five hundred eighty-four".