242501616 has 120 divisors (see below), whose sum is σ = 782851680. Its totient is φ = 68640768.

The previous prime is 242501591. The next prime is 242501629. The reversal of 242501616 is 616105242.

242501616 is a `hidden beast` number, since 2 + 42 + 5 + 0 + 1 + 616 = 666.

It is a super-2 number, since 2×242501616² = 117614067525222912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242501616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112840 + ... + 114968.

It is an arithmetic number, because the mean of its divisors is an integer number (6523764).

Almost surely, 2^242501616 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 242501616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391425840).

242501616 is an abundant number, since it is smaller than the sum of its proper divisors (540350064).

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

242501616 is a wasteful number, since it uses less digits than its factorization.

242501616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 242501616 is about 15572.4633889440. The cubic root of 242501616 is about 623.5982374358.

Adding to 242501616 its reverse (616105242), we get a palindrome (858606858).

The spelling of 242501616 in words is "two hundred forty-two million, five hundred one thousand, six hundred sixteen".