2084100 has 36 divisors (see below), whose sum is σ = 6030864. Its totient is φ = 555680.

The previous prime is 2084051. The next prime is 2084101. The reversal of 2084100 is 14802.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2084100.

It is not an unprimeable number, because it can be changed into a prime (2084101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3174 + ... + 3773.

It is an arithmetic number, because the mean of its divisors is an integer number (167524).

2^2084100 is an apocalyptic number.

2084100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2084100 is an abundant number, since it is smaller than the sum of its proper divisors (3946764).

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

2084100 is a wasteful number, since it uses less digits than its factorization.

2084100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6964 (or 6957 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2084100 is about 1443.6412296689. The cubic root of 2084100 is about 127.7339035815.

Adding to 2084100 its reverse (14802), we get a palindrome (2098902).

The spelling of 2084100 in words is "two million, eighty-four thousand, one hundred".