2234430344322 has 144 divisors (see below), whose sum is σ = 5653674182520. Its totient is φ = 636082191360.

The previous prime is 2234430344317. The next prime is 2234430344327.

2234430344322 is a `hidden beast` number, since 2 + 2 + 344 + 303 + 4 + 4 + 3 + 2 + 2 = 666.

2234430344322 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2234430344317) and next prime (2234430344327).

It can be written as a sum of positive squares in 4 ways, for example, as 1998884164761 + 235546179561 = 1413819^2 + 485331^2 .

It is not an unprimeable number, because it can be changed into a prime (2234430344327) 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 71 ways as a sum of consecutive naturals, for example, 1858938 + ... + 2815050.

Almost surely, 2^{2234430344322} is an apocalyptic number.

2234430344322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234430344322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826837091260).

2234430344322 is an abundant number, since it is smaller than the sum of its proper divisors (3419243838198).

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

2234430344322 is a wasteful number, since it uses less digits than its factorization.

2234430344322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956209 (or 956195 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 2234430 and 344322, that added together give a palindrome (2578752).

The spelling of 2234430344322 in words is "two trillion, two hundred thirty-four billion, four hundred thirty million, three hundred forty-four thousand, three hundred twenty-two".