2084880 has 160 divisors (see below), whose sum is σ = 7928064. Its totient is φ = 442368.

The previous prime is 2084833. The next prime is 2084899. The reversal of 2084880 is 884802.

2084880 is nontrivially palindromic in base 13.

It is a super-2 number, since 2×2084880² = 8693449228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28524 + ... + 28596.

2^2084880 is an apocalyptic number.

2084880 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 2084880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964032).

2084880 is an abundant number, since it is smaller than the sum of its proper divisors (5843184).

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

2084880 is a wasteful number, since it uses less digits than its factorization.

2084880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2084880 is about 1443.9113546198. The cubic root of 2084880 is about 127.7498369209.

2084880 divided by its sum of digits (30) gives a palindrome (69496).

The spelling of 2084880 in words is "two million, eighty-four thousand, eight hundred eighty".