242409024 has 336 divisors, whose sum is σ = 854293440. Its totient is φ = 67184640.

The previous prime is 242409007. The next prime is 242409031. The reversal of 242409024 is 420904242.

242409024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2223882 + ... + 2223990.

It is an arithmetic number, because the mean of its divisors is an integer number (2542540).

Almost surely, 2^242409024 is an apocalyptic number.

242409024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242409024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427146720).

242409024 is an abundant number, since it is smaller than the sum of its proper divisors (611884416).

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

242409024 is a wasteful number, since it uses less digits than its factorization.

242409024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 242409024 is about 15569.4901650632. The cubic root of 242409024 is about 623.5188598777.

The spelling of 242409024 in words is "two hundred forty-two million, four hundred nine thousand, twenty-four".