242102000 has 80 divisors (see below), whose sum is σ = 669070272. Its totient is φ = 83001600.

The previous prime is 242101969. The next prime is 242102011. The reversal of 242102000 is 201242.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×242102000² = 117226756808000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5354 + ... + 22646.

Almost surely, 2^242102000 is an apocalyptic number.

242102000 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 242102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334535136).

242102000 is an abundant number, since it is smaller than the sum of its proper divisors (426968272).

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

242102000 is a wasteful number, since it uses less digits than its factorization.

242102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17323 (or 17307 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 242102000 is about 15559.6272448925. The cubic root of 242102000 is about 623.2555086636.

Adding to 242102000 its reverse (201242), we get a palindrome (242303242).

The spelling of 242102000 in words is "two hundred forty-two million, one hundred two thousand".