2110880 has 48 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 828672.

The previous prime is 2110879. The next prime is 2110891. The reversal of 2110880 is 880112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12557 + ... + 12723.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

2^2110880 is an apocalyptic number.

2110880 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 2110880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

2110880 is an abundant number, since it is smaller than the sum of its proper divisors (2969440).

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

2110880 is a wasteful number, since it uses less digits than its factorization.

2110880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 2110880 is about 1452.8867815491. The cubic root of 2110880 is about 128.2786896540.

Adding to 2110880 its reverse (880112), we get a palindrome (2990992).

It can be divided in two parts, 21 and 10880, that added together give a palindrome (10901).

The spelling of 2110880 in words is "two million, one hundred ten thousand, eight hundred eighty".