242016336 has 70 divisors (see below), whose sum is σ = 703072250. Its totient is φ = 80668224.

The previous prime is 242016331. The next prime is 242016337. The reversal of 242016336 is 633610242.

242016336 is a `hidden beast` number, since 2 + 4 + 20 + 1 + 633 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 141134400 + 100881936 = 11880^2 + 10044^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242016331) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1290 + ... + 22038.

Almost surely, 2^242016336 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 242016336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351536125).

242016336 is an abundant number, since it is smaller than the sum of its proper divisors (461055914).

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

242016336 is an equidigital number, since it uses as much as digits as its factorization.

242016336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20775 (or 20754 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 242016336 is about 15556.8742361697. The cubic root of 242016336 is about 623.1819902591.

Adding to 242016336 its reverse (633610242), we get a palindrome (875626578).

The spelling of 242016336 in words is "two hundred forty-two million, sixteen thousand, three hundred thirty-six".