2120272720 has 40 divisors (see below), whose sum is σ = 4943824200. Its totient is φ = 845667840.

The previous prime is 2120272697. The next prime is 2120272727. The reversal of 2120272720 is 272720212.

It can be written as a sum of positive squares in 4 ways, for example, as 784224016 + 1336048704 = 28004^2 + 36552^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120272727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10051 + ... + 65890.

It is an arithmetic number, because the mean of its divisors is an integer number (123595605).

Almost surely, 2^2120272720 is an apocalyptic number.

2120272720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120272720 is an abundant number, since it is smaller than the sum of its proper divisors (2823551480).

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

2120272720 is a wasteful number, since it uses less digits than its factorization.

2120272720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76303 (or 76297 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 2120272720 is about 46046.4191875981. The cubic root of 2120272720 is about 1284.6867410024.

Adding to 2120272720 its reverse (272720212), we get a palindrome (2392992932).

The spelling of 2120272720 in words is "two billion, one hundred twenty million, two hundred seventy-two thousand, seven hundred twenty".