214242002430 has 128 divisors (see below), whose sum is σ = 532823961600. Its totient is φ = 55088999424.

The previous prime is 214242002411. The next prime is 214242002437. The reversal of 214242002430 is 34200242412.

It is a super-2 number, since 2×214242002430² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214242002430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214242002437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133151466 + ... + 133153074.

It is an arithmetic number, because the mean of its divisors is an integer number (4162687200).

Almost surely, 2^214242002430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214242002430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266411980800).

214242002430 is an abundant number, since it is smaller than the sum of its proper divisors (318581959170).

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

214242002430 is a wasteful number, since it uses less digits than its factorization.

214242002430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 214242002430 its reverse (34200242412), we get a palindrome (248442244842).

The spelling of 214242002430 in words is "two hundred fourteen billion, two hundred forty-two million, two thousand, four hundred thirty".