242152064 has 128 divisors (see below), whose sum is σ = 611020800. Its totient is φ = 92851200.

The previous prime is 242152051. The next prime is 242152081. The reversal of 242152064 is 460251242.

242152064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778469 + ... + 778779.

It is an arithmetic number, because the mean of its divisors is an integer number (4773600).

Almost surely, 2^242152064 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 242152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305510400).

242152064 is an abundant number, since it is smaller than the sum of its proper divisors (368868736).

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

242152064 is a wasteful number, since it uses less digits than its factorization.

242152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 242152064 is about 15561.2359406315. The cubic root of 242152064 is about 623.2984664710.

The spelling of 242152064 in words is "two hundred forty-two million, one hundred fifty-two thousand, sixty-four".