2011090820 has 48 divisors (see below), whose sum is σ = 4498623360. Its totient is φ = 752561664.

The previous prime is 2011090817. The next prime is 2011090831. The reversal of 2011090820 is 280901102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39071 + ... + 74489.

It is an arithmetic number, because the mean of its divisors is an integer number (93721320).

Almost surely, 2^2011090820 is an apocalyptic number.

2011090820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011090820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249311680).

2011090820 is an abundant number, since it is smaller than the sum of its proper divisors (2487532540).

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

2011090820 is a wasteful number, since it uses less digits than its factorization.

2011090820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35612 (or 35610 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 2011090820 is about 44845.1872557134. The cubic root of 2011090820 is about 1262.2456844214.

Adding to 2011090820 its reverse (280901102), we get a palindrome (2291991922).

The spelling of 2011090820 in words is "two billion, eleven million, ninety thousand, eight hundred twenty".