2011098880 has 144 divisors (see below), whose sum is σ = 5529101760. Its totient is φ = 686555136.

The previous prime is 2011098857. The next prime is 2011098893. The reversal of 2011098880 is 888901102.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3485152 + ... + 3485728.

It is an arithmetic number, because the mean of its divisors is an integer number (38396540).

Almost surely, 2^2011098880 is an apocalyptic number.

2011098880 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 2011098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764550880).

2011098880 is an abundant number, since it is smaller than the sum of its proper divisors (3518002880).

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

2011098880 is an equidigital number, since it uses as much as digits as its factorization.

2011098880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 37.

The square root of 2011098880 is about 44845.2771203390. The cubic root of 2011098880 is about 1262.2473706848.

Adding to 2011098880 its reverse (888901102), we get a palindrome (2899999982).

The spelling of 2011098880 in words is "two billion, eleven million, ninety-eight thousand, eight hundred eighty".