242088000 has 448 divisors, whose sum is σ = 1004230656. Its totient is φ = 49920000.

The previous prime is 242087983. The next prime is 242088001. The reversal of 242088000 is 880242.

242088000 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 (448).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242088001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1847935 + ... + 1848065.

Almost surely, 2^242088000 is an apocalyptic number.

242088000 is a gapful number since it is divisible by the number (20) 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 242088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502115328).

242088000 is an abundant number, since it is smaller than the sum of its proper divisors (762142656).

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

242088000 is a wasteful number, since it uses less digits than its factorization.

242088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 242088000 is about 15559.1773561458. The cubic root of 242088000 is about 623.2434947943.

The spelling of 242088000 in words is "two hundred forty-two million, eighty-eight thousand".