242114004 has 72 divisors (see below), whose sum is σ = 672235200. Its totient is φ = 72864000.

The previous prime is 242113987. The next prime is 242114021. The reversal of 242114004 is 400411242.

It is an interprime number because it is at equal distance from previous prime (242113987) and next prime (242114021).

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57772 + ... + 61820.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 2^242114004 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 242114004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336117600).

242114004 is an abundant number, since it is smaller than the sum of its proper divisors (430121196).

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

242114004 is a wasteful number, since it uses less digits than its factorization.

242114004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221 (or 4216 counting only the distinct ones).

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

The square root of 242114004 is about 15560.0129819997. The cubic root of 242114004 is about 623.2658093295.

Adding to 242114004 its reverse (400411242), we get a palindrome (642525246).

The spelling of 242114004 in words is "two hundred forty-two million, one hundred fourteen thousand, four".