242724520 has 64 divisors (see below), whose sum is σ = 573246720. Its totient is φ = 92319744.

The previous prime is 242724511. The next prime is 242724523. The reversal of 242724520 is 25427242.

It is not an unprimeable number, because it can be changed into a prime (242724523) 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 15 ways as a sum of consecutive naturals, for example, 176877 + ... + 178243.

It is an arithmetic number, because the mean of its divisors is an integer number (8956980).

Almost surely, 2^242724520 is an apocalyptic number.

242724520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242724520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286623360).

242724520 is an abundant number, since it is smaller than the sum of its proper divisors (330522200).

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

242724520 is a wasteful number, since it uses less digits than its factorization.

242724520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 242724520 is about 15579.6187373119. The cubic root of 242724520 is about 623.7892464358.

The spelling of 242724520 in words is "two hundred forty-two million, seven hundred twenty-four thousand, five hundred twenty".