242048016 has 120 divisors (see below), whose sum is σ = 781626560. Its totient is φ = 68491008.

The previous prime is 242047961. The next prime is 242048029. The reversal of 242048016 is 610840242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108771 + ... + 110973.

Almost surely, 2^242048016 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 242048016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390813280).

242048016 is an abundant number, since it is smaller than the sum of its proper divisors (539578544).

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

242048016 is a wasteful number, since it uses less digits than its factorization.

242048016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 242048016 is about 15557.8924022504. The cubic root of 242048016 is about 623.2091806331.

Adding to 242048016 its reverse (610840242), we get a palindrome (852888258).

The spelling of 242048016 in words is "two hundred forty-two million, forty-eight thousand, sixteen".