242005515114 has 128 divisors (see below), whose sum is σ = 555579813888. Its totient is φ = 69561423360.

The previous prime is 242005515113. The next prime is 242005515121. The reversal of 242005515114 is 411515500242.

242005515114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242005515113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234273942 + ... + 234274974.

It is an arithmetic number, because the mean of its divisors is an integer number (4340467296).

Almost surely, 2^242005515114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242005515114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277789906944).

242005515114 is an abundant number, since it is smaller than the sum of its proper divisors (313574298774).

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

242005515114 is a wasteful number, since it uses less digits than its factorization.

242005515114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212.

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 242005515114 in words is "two hundred forty-two billion, five million, five hundred fifteen thousand, one hundred fourteen".