242564020 has 36 divisors (see below), whose sum is σ = 515089260. Its totient is φ = 95950848.

The previous prime is 242564017. The next prime is 242564029. The reversal of 242564020 is 20465242.

It can be written as a sum of positive squares in 6 ways, for example, as 512656 + 242051364 = 716^2 + 15558^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242564029) 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, 187536 + ... + 188824.

It is an arithmetic number, because the mean of its divisors is an integer number (14308035).

Almost surely, 2^242564020 is an apocalyptic number.

242564020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242564020 is an abundant number, since it is smaller than the sum of its proper divisors (272525240).

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

242564020 is a wasteful number, since it uses less digits than its factorization.

242564020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 242564020 is about 15574.4669250668. The cubic root of 242564020 is about 623.6517239341.

The spelling of 242564020 in words is "two hundred forty-two million, five hundred sixty-four thousand, twenty".