242641536 has 128 divisors (see below), whose sum is σ = 682698240. Its totient is φ = 76200960.

The previous prime is 242641517. The next prime is 242641537. The reversal of 242641536 is 635146242.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 242641497 and 242641506.

It is not an unprimeable number, because it can be changed into a prime (242641537) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 732891 + ... + 733221.

It is an arithmetic number, because the mean of its divisors is an integer number (5333580).

Almost surely, 2^242641536 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 242641536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341349120).

242641536 is an abundant number, since it is smaller than the sum of its proper divisors (440056704).

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

242641536 is a wasteful number, since it uses less digits than its factorization.

242641536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 242641536 is about 15576.9552865764. The cubic root of 242641536 is about 623.7181501616.

Adding to 242641536 its reverse (635146242), we get a palindrome (877787778).

The spelling of 242641536 in words is "two hundred forty-two million, six hundred forty-one thousand, five hundred thirty-six".