2084080 has 40 divisors (see below), whose sum is σ = 4910400. Its totient is φ = 822528.

The previous prime is 2084051. The next prime is 2084101. The reversal of 2084080 is 804802.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 8601 + ... + 8839.

It is an arithmetic number, because the mean of its divisors is an integer number (122760).

2^2084080 is an apocalyptic number.

2084080 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 2084080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455200).

2084080 is an abundant number, since it is smaller than the sum of its proper divisors (2826320).

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

2084080 is a wasteful number, since it uses less digits than its factorization.

2084080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

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

The square root of 2084080 is about 1443.6343027235. The cubic root of 2084080 is about 127.7334949820.

Adding to 2084080 its reverse (804802), we get a palindrome (2888882).

It can be divided in two parts, 20 and 84080, that added together give a square (84100 = 290²).

The spelling of 2084080 in words is "two million, eighty-four thousand, eighty".