2011272831 has 12 divisors (see below), whose sum is σ = 2906602920. Its totient is φ = 1340188080.

The previous prime is 2011272827. The next prime is 2011272847. The reversal of 2011272831 is 1382721102.

It is not a de Polignac number, because 2011272831 - 2² = 2011272827 is a prime.

It is a super-2 number, since 2×2011272831² = 8090436801437509122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2011272795 and 2011272804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011272631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35385 + ... + 72626.

It is an arithmetic number, because the mean of its divisors is an integer number (242216910).

Almost surely, 2^2011272831 is an apocalyptic number.

2011272831 is a deficient number, since it is larger than the sum of its proper divisors (895330089).

2011272831 is a wasteful number, since it uses less digits than its factorization.

2011272831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110086 (or 110083 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2011272831 is about 44847.2165357004. The cubic root of 2011272831 is about 1262.2837625408.

Adding to 2011272831 its reverse (1382721102), we get a palindrome (3393993933).

The spelling of 2011272831 in words is "two billion, eleven million, two hundred seventy-two thousand, eight hundred thirty-one".