2032111120 has 80 divisors (see below), whose sum is σ = 5096392560. Its totient is φ = 749094912.

The previous prime is 2032111097. The next prime is 2032111121. The reversal of 2032111120 is 211112302.

It can be written as a sum of positive squares in 8 ways, for example, as 309197056 + 1722914064 = 17584^2 + 41508^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2032111120.

It is not an unprimeable number, because it can be changed into a prime (2032111121) 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, 860982 + ... + 863338.

It is an arithmetic number, because the mean of its divisors is an integer number (63704907).

Almost surely, 2^2032111120 is an apocalyptic number.

2032111120 is a gapful number since it is divisible by the number (20) 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 2032111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548196280).

2032111120 is an abundant number, since it is smaller than the sum of its proper divisors (3064281440).

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

2032111120 is a wasteful number, since it uses less digits than its factorization.

2032111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2032111120 is about 45078.9431996803. The cubic root of 2032111120 is about 1266.6281939684.

Adding to 2032111120 its reverse (211112302), we get a palindrome (2243223422).

The spelling of 2032111120 in words is "two billion, thirty-two million, one hundred eleven thousand, one hundred twenty".