2114880 has 56 divisors (see below), whose sum is σ = 6717792. Its totient is φ = 563712.

The previous prime is 2114867. The next prime is 2114881. The reversal of 2114880 is 884112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2114880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142 + ... + 2061.

2^2114880 is an apocalyptic number.

2114880 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 2114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358896).

2114880 is an abundant number, since it is smaller than the sum of its proper divisors (4602912).

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

2114880 is a wasteful number, since it uses less digits than its factorization.

2114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 2114880 is about 1454.2626997898. The cubic root of 2114880 is about 128.3596655173.

Adding to 2114880 its reverse (884112), we get a palindrome (2998992).

The spelling of 2114880 in words is "two million, one hundred fourteen thousand, eight hundred eighty".