2134334312 has 64 divisors (see below), whose sum is σ = 4623782400. Its totient is φ = 914063040.

The previous prime is 2134334269. The next prime is 2134334317.

2134334312 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2134334317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127739 + ... + 143477.

It is an arithmetic number, because the mean of its divisors is an integer number (72246600).

Almost surely, 2^2134334312 is an apocalyptic number.

2134334312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134334312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311891200).

2134334312 is an abundant number, since it is smaller than the sum of its proper divisors (2489448088).

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

2134334312 is a wasteful number, since it uses less digits than its factorization.

2134334312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15846 (or 15842 counting only the distinct ones).

The product of its digits is 5184, while the sum is 26.

The square root of 2134334312 is about 46198.8561763167. The cubic root of 2134334312 is about 1287.5204884665.

It can be divided in two parts, 21343 and 34312, that added together give a palindrome (55655).

The spelling of 2134334312 in words is "two billion, one hundred thirty-four million, three hundred thirty-four thousand, three hundred twelve".