2084800 has 42 divisors (see below), whose sum is σ = 5133848. Its totient is φ = 833280.

The previous prime is 2084791. The next prime is 2084833. The reversal of 2084800 is 84802.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 949 + ... + 2251.

2^2084800 is an apocalyptic number.

2084800 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 2084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566924).

2084800 is an abundant number, since it is smaller than the sum of its proper divisors (3049048).

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

2084800 is a wasteful number, since it uses less digits than its factorization.

2084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 2084800 is about 1443.8836518224. The cubic root of 2084800 is about 127.7482029151.

The spelling of 2084800 in words is "two million, eighty-four thousand, eight hundred".