242414190 has 96 divisors (see below), whose sum is σ = 657914400. Its totient is φ = 61850880.

The previous prime is 242414173. The next prime is 242414191. The reversal of 242414190 is 91414242.

It is a happy number.

242414190 is a `hidden beast` number, since 2 + 4 + 241 + 419 + 0 = 666.

It is a super-2 number, since 2×242414190² = 117529279026712200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242414191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341556 + ... + 342264.

It is an arithmetic number, because the mean of its divisors is an integer number (6853275).

Almost surely, 2^242414190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242414190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328957200).

242414190 is an abundant number, since it is smaller than the sum of its proper divisors (415500210).

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

242414190 is a wasteful number, since it uses less digits than its factorization.

242414190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 242414190 is about 15569.6560655655. The cubic root of 242414190 is about 623.5232891346.

The spelling of 242414190 in words is "two hundred forty-two million, four hundred fourteen thousand, one hundred ninety".