2032210120 has 64 divisors (see below), whose sum is σ = 4669009200. Its totient is φ = 795847680.

The previous prime is 2032210093. The next prime is 2032210121. The reversal of 2032210120 is 210122302.

It can be written as a sum of positive squares in 8 ways, for example, as 254913156 + 1777296964 = 15966^2 + 42158^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2032210120.

It is not an unprimeable number, because it can be changed into a prime (2032210121) by changing a digit.

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, 556942 + ... + 560578.

Almost surely, 2^2032210120 is an apocalyptic number.

2032210120 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 2032210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334504600).

2032210120 is an abundant number, since it is smaller than the sum of its proper divisors (2636799080).

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

2032210120 is a wasteful number, since it uses less digits than its factorization.

2032210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2032210120 is about 45080.0412599634. The cubic root of 2032210120 is about 1266.6487627509.

Adding to 2032210120 its reverse (210122302), we get a palindrome (2242332422).

The spelling of 2032210120 in words is "two billion, thirty-two million, two hundred ten thousand, one hundred twenty".