242126208 has 96 divisors (see below), whose sum is σ = 707367960. Its totient is φ = 79478784.

The previous prime is 242126201. The next prime is 242126233. The reversal of 242126208 is 802621242.

It is a happy number.

242126208 is a `hidden beast` number, since 24 + 2 + 12 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242126201) 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 11 ways as a sum of consecutive naturals, for example, 75616 + ... + 78752.

Almost surely, 2^242126208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242126208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353683980).

242126208 is an abundant number, since it is smaller than the sum of its proper divisors (465241752).

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

242126208 is a wasteful number, since it uses less digits than its factorization.

242126208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 242126208 is about 15560.4051361139. The cubic root of 242126208 is about 623.2762812670.

The spelling of 242126208 in words is "two hundred forty-two million, one hundred twenty-six thousand, two hundred eight".