242564670 has 192 divisors, whose sum is σ = 714489984. Its totient is φ = 56770560.

The previous prime is 242564639. The next prime is 242564683. The reversal of 242564670 is 76465242.

242564670 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 646 + 7 + 0 = 666.

242564670 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2146534 + ... + 2146646.

It is an arithmetic number, because the mean of its divisors is an integer number (3721302).

Almost surely, 2^242564670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242564670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357244992).

242564670 is an abundant number, since it is smaller than the sum of its proper divisors (471925314).

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

242564670 is a wasteful number, since it uses less digits than its factorization.

242564670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 242564670 is about 15574.4877925407. The cubic root of 242564670 is about 623.6522810012.

The spelling of 242564670 in words is "two hundred forty-two million, five hundred sixty-four thousand, six hundred seventy".