2200000272 has 80 divisors (see below), whose sum is σ = 5992830720. Its totient is φ = 693532800.

The previous prime is 2200000261. The next prime is 2200000273. The reversal of 2200000272 is 2720000022.

It is not an unprimeable number, because it can be changed into a prime (2200000273) 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, 628447 + ... + 631937.

It is an arithmetic number, because the mean of its divisors is an integer number (74910384).

Almost surely, 2^2200000272 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 2200000272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996415360).

2200000272 is an abundant number, since it is smaller than the sum of its proper divisors (3792830448).

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

2200000272 is a wasteful number, since it uses less digits than its factorization.

2200000272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 2200000272 is about 46904.1604977639. The cubic root of 2200000272 is about 1300.5915004515.

Adding to 2200000272 its reverse (2720000022), we get a palindrome (4920000294).

The spelling of 2200000272 in words is "two billion, two hundred million, two hundred seventy-two", and thus it is an aban number.