242107920 has 80 divisors (see below), whose sum is σ = 833934720. Its totient is φ = 64561536.

The previous prime is 242107891. The next prime is 242107927. The reversal of 242107920 is 29701242.

242107920 is digitally balanced in base 3, 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 (80).

It is a super-3 number, since 3×242107920³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (242107927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53884 + ... + 58203.

It is an arithmetic number, because the mean of its divisors is an integer number (10424184).

Almost surely, 2^242107920 is an apocalyptic number.

242107920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242107920 is an abundant number, since it is smaller than the sum of its proper divisors (591826800).

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

242107920 is a wasteful number, since it uses less digits than its factorization.

242107920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112109 (or 112097 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 242107920 is about 15559.8174796493. The cubic root of 242107920 is about 623.2605886747.

The spelling of 242107920 in words is "two hundred forty-two million, one hundred seven thousand, nine hundred twenty".