2334034144 has 144 divisors (see below), whose sum is σ = 5352117120. Its totient is φ = 993807360.

The previous prime is 2334034117. The next prime is 2334034169. The reversal of 2334034144 is 4414304332.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 29544697 + ... + 29544775.

It is an arithmetic number, because the mean of its divisors is an integer number (37167480).

Almost surely, 2^2334034144 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 2334034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676058560).

2334034144 is an abundant number, since it is smaller than the sum of its proper divisors (3018082976).

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

2334034144 is a wasteful number, since it uses less digits than its factorization.

2334034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 2334034144 is about 48311.8426889308. The cubic root of 2334034144 is about 1326.4851781846.

Adding to 2334034144 its reverse (4414304332), we get a palindrome (6748338476).

The spelling of 2334034144 in words is "two billion, three hundred thirty-four million, thirty-four thousand, one hundred forty-four".