242740008 has 192 divisors, whose sum is σ = 816117120. Its totient is φ = 63590400.

The previous prime is 242739989. The next prime is 242740019. The reversal of 242740008 is 800047242.

It is a super-2 number, since 2×242740008² = 117845422967680128, which contains 22 as substring.

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, 350943 + ... + 351633.

It is an arithmetic number, because the mean of its divisors is an integer number (4250610).

Almost surely, 2^242740008 is an apocalyptic number.

242740008 is a gapful number since it is divisible by the number (28) 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 242740008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408058560).

242740008 is an abundant number, since it is smaller than the sum of its proper divisors (573377112).

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

242740008 is a wasteful number, since it uses less digits than its factorization.

242740008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 242740008 is about 15580.1157890434. The cubic root of 242740008 is about 623.8025139354.

The spelling of 242740008 in words is "two hundred forty-two million, seven hundred forty thousand, eight".