2011808880 has 160 divisors (see below), whose sum is σ = 7168737600. Its totient is φ = 517966848.

The previous prime is 2011808867. The next prime is 2011808923. The reversal of 2011808880 is 888081102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46582 + ... + 78698.

It is an arithmetic number, because the mean of its divisors is an integer number (44804610).

Almost surely, 2^2011808880 is an apocalyptic number.

2011808880 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 2011808880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584368800).

2011808880 is an abundant number, since it is smaller than the sum of its proper divisors (5156928720).

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

2011808880 is a wasteful number, since it uses less digits than its factorization.

2011808880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32168 (or 32156 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 2011808880 is about 44853.1925285146. The cubic root of 2011808880 is about 1262.3958948239.

Adding to 2011808880 its reverse (888081102), we get a palindrome (2899889982).

It can be divided in two parts, 201 and 1808880, that added together give a palindrome (1809081).

The spelling of 2011808880 in words is "two billion, eleven million, eight hundred eight thousand, eight hundred eighty".