2084500 has 48 divisors (see below), whose sum is σ = 4979520. Its totient is φ = 756000.

The previous prime is 2084479. The next prime is 2084501. The reversal of 2084500 is 54802.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084501) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5311 + ... + 5689.

It is an arithmetic number, because the mean of its divisors is an integer number (103740).

2^2084500 is an apocalyptic number.

2084500 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 2084500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489760).

2084500 is an abundant number, since it is smaller than the sum of its proper divisors (2895020).

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

2084500 is a wasteful number, since it uses less digits than its factorization.

2084500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2084500 is about 1443.7797615980. The cubic root of 2084500 is about 127.7420750213.

It can be divided in two parts, 20 and 84500, that multiplied together give a square (1690000 = 1300²).

The spelling of 2084500 in words is "two million, eighty-four thousand, five hundred".