2111000020 has 24 divisors (see below), whose sum is σ = 4461342984. Its totient is φ = 839020416.

The previous prime is 2111000009. The next prime is 2111000029. The reversal of 2111000020 is 200001112.

It can be written as a sum of positive squares in 4 ways, for example, as 9511056 + 2101488964 = 3084^2 + 45842^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2110999967 and 2111000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111000029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333007 + ... + 339286.

It is an arithmetic number, because the mean of its divisors is an integer number (185889291).

Almost surely, 2^2111000020 is an apocalyptic number.

2111000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111000020 is an abundant number, since it is smaller than the sum of its proper divisors (2350342964).

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

2111000020 is a wasteful number, since it uses less digits than its factorization.

2111000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672459 (or 672457 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2111000020 is about 45945.6202482892. The cubic root of 2111000020 is about 1282.8112082274.

Adding to 2111000020 its reverse (200001112), we get a palindrome (2311001132).

The spelling of 2111000020 in words is "two billion, one hundred eleven million, twenty", and thus it is an aban number.