242032512 has 64 divisors (see below), whose sum is σ = 658622160. Its totient is φ = 78704640.

The previous prime is 242032489. The next prime is 242032517. The reversal of 242032512 is 215230242.

242032512 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 (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242032517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8058 + ... + 23430.

Almost surely, 2^242032512 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 242032512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329311080).

242032512 is an abundant number, since it is smaller than the sum of its proper divisors (416589648).

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

242032512 is a wasteful number, since it uses less digits than its factorization.

242032512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15431 (or 15419 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 242032512 is about 15557.3941262668. The cubic root of 242032512 is about 623.1958741253.

Adding to 242032512 its reverse (215230242), we get a palindrome (457262754).

The spelling of 242032512 in words is "two hundred forty-two million, thirty-two thousand, five hundred twelve".