2011011820 has 24 divisors (see below), whose sum is σ = 4224024000. Its totient is φ = 804233472.

The previous prime is 2011011797. The next prime is 2011011907. The reversal of 2011011820 is 281101102.

It is a junction number, because it is equal to n+sod(n) for n = 2011011794 and 2011011803.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131956 + ... + 146404.

It is an arithmetic number, because the mean of its divisors is an integer number (176001000).

Almost surely, 2^2011011820 is an apocalyptic number.

2011011820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011011820 is an abundant number, since it is smaller than the sum of its proper divisors (2213012180).

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

2011011820 is a wasteful number, since it uses less digits than its factorization.

2011011820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21417 (or 21415 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The square root of 2011011820 is about 44844.3064390565. The cubic root of 2011011820 is about 1262.2291562909.

Adding to 2011011820 its reverse (281101102), we get a palindrome (2292112922).

The spelling of 2011011820 in words is "two billion, eleven million, eleven thousand, eight hundred twenty".