2082880 has 56 divisors (see below), whose sum is σ = 5193792. Its totient is φ = 794112.

The previous prime is 2082869. The next prime is 2082887. The reversal of 2082880 is 882802.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2082887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7219 + ... + 7501.

2^2082880 is an apocalyptic number.

2082880 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 2082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596896).

2082880 is an abundant number, since it is smaller than the sum of its proper divisors (3110912).

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

2082880 is a wasteful number, since it uses less digits than its factorization.

2082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 2082880 is about 1443.2186251570. The cubic root of 2082880 is about 127.7089742307.

The spelling of 2082880 in words is "two million, eighty-two thousand, eight hundred eighty".