242024874 has 128 divisors (see below), whose sum is σ = 626196480. Its totient is φ = 60652800.

The previous prime is 242024863. The next prime is 242024879. The reversal of 242024874 is 478420242.

242024874 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×242024874³ (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242024879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1337064 + ... + 1337244.

It is an arithmetic number, because the mean of its divisors is an integer number (4892160).

Almost surely, 2^242024874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242024874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313098240).

242024874 is an abundant number, since it is smaller than the sum of its proper divisors (384171606).

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

242024874 is a wasteful number, since it uses less digits than its factorization.

242024874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316.

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 242024874 is about 15557.1486462012. The cubic root of 242024874 is about 623.1893185045.

The spelling of 242024874 in words is "two hundred forty-two million, twenty-four thousand, eight hundred seventy-four".