2120109472 has 96 divisors (see below), whose sum is σ = 4648132944. Its totient is φ = 945561600.

The previous prime is 2120109463. The next prime is 2120109493. The reversal of 2120109472 is 2749010212.

It can be written as a sum of positive squares in 8 ways, for example, as 25765776 + 2094343696 = 5076^2 + 45764^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2120109472.

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 15 ways as a sum of consecutive naturals, for example, 2785572 + ... + 2786332.

Almost surely, 2^2120109472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120109472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324066472).

2120109472 is an abundant number, since it is smaller than the sum of its proper divisors (2528023472).

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

2120109472 is a wasteful number, since it uses less digits than its factorization.

2120109472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 2120109472 is about 46044.6465074931. The cubic root of 2120109472 is about 1284.6537691553.

Adding to 2120109472 its reverse (2749010212), we get a palindrome (4869119684).

The spelling of 2120109472 in words is "two billion, one hundred twenty million, one hundred nine thousand, four hundred seventy-two".