2120034114 has 128 divisors (see below), whose sum is σ = 5242060800. Its totient is φ = 629778240.

The previous prime is 2120034097. The next prime is 2120034127. The reversal of 2120034114 is 4114300212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 11843677 + ... + 11843855.

It is an arithmetic number, because the mean of its divisors is an integer number (40953600).

Almost surely, 2^2120034114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120034114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621030400).

2120034114 is an abundant number, since it is smaller than the sum of its proper divisors (3122026686).

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

2120034114 is a wasteful number, since it uses less digits than its factorization.

2120034114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2120034114 is about 46043.8281857623. The cubic root of 2120034114 is about 1284.6385482297.

Adding to 2120034114 its reverse (4114300212), we get a palindrome (6234334326).

The spelling of 2120034114 in words is "two billion, one hundred twenty million, thirty-four thousand, one hundred fourteen".