242941536 has 72 divisors (see below), whose sum is σ = 693463680. Its totient is φ = 80676096.

The previous prime is 242941507. The next prime is 242941537. The reversal of 242941536 is 635149242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 242941536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242941537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82945 + ... + 85823.

It is an arithmetic number, because the mean of its divisors is an integer number (9631440).

Almost surely, 2^242941536 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 242941536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346731840).

242941536 is an abundant number, since it is smaller than the sum of its proper divisors (450522144).

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

242941536 is a wasteful number, since it uses less digits than its factorization.

242941536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3177 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 242941536 is about 15586.5819216402. The cubic root of 242941536 is about 623.9750976255.

The spelling of 242941536 in words is "two hundred forty-two million, nine hundred forty-one thousand, five hundred thirty-six".