242249616 has 320 divisors, whose sum is σ = 858992640. Its totient is φ = 64665216.

The previous prime is 242249597. The next prime is 242249621. The reversal of 242249616 is 616942242.

242249616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5633691 + ... + 5633733.

It is an arithmetic number, because the mean of its divisors is an integer number (2684352).

Almost surely, 2^242249616 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 242249616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429496320).

242249616 is an abundant number, since it is smaller than the sum of its proper divisors (616743024).

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

242249616 is an equidigital number, since it uses as much as digits as its factorization.

242249616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 242249616 is about 15564.3700804112. The cubic root of 242249616 is about 623.3821547228.

The spelling of 242249616 in words is "two hundred forty-two million, two hundred forty-nine thousand, six hundred sixteen".