242028000 has 336 divisors, whose sum is σ = 902328336. Its totient is φ = 63763200.

The previous prime is 242027987. The next prime is 242028013. The reversal of 242028000 is 820242.

242028000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242027987) and next prime (242028013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2915959 + ... + 2916041.

It is an arithmetic number, because the mean of its divisors is an integer number (2685501).

Almost surely, 2^242028000 is an apocalyptic number.

242028000 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 242028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451164168).

242028000 is an abundant number, since it is smaller than the sum of its proper divisors (660300336).

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

242028000 is an frugal number, since it uses more digits than its factorization.

242028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 242028000 is about 15557.2491141590. The cubic root of 242028000 is about 623.1920015364.

Adding to 242028000 its reverse (820242), we get a palindrome (242848242).

The spelling of 242028000 in words is "two hundred forty-two million, twenty-eight thousand".