2134114312 has 64 divisors (see below), whose sum is σ = 4629830400. Its totient is φ = 911447040.

The previous prime is 2134114309. The next prime is 2134114327.

2134114312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1553658 + ... + 1555030.

It is an arithmetic number, because the mean of its divisors is an integer number (72341100).

Almost surely, 2^2134114312 is an apocalyptic number.

2134114312 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 2134114312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314915200).

2134114312 is an abundant number, since it is smaller than the sum of its proper divisors (2495716088).

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

2134114312 is a wasteful number, since it uses less digits than its factorization.

2134114312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2442 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 2134114312 is about 46196.4751036267. The cubic root of 2134114312 is about 1287.4762491864.

It can be divided in two parts, 21341 and 14312, that added together give a palindrome (35653).

The spelling of 2134114312 in words is "two billion, one hundred thirty-four million, one hundred fourteen thousand, three hundred twelve".