2121084 has 72 divisors (see below), whose sum is σ = 6464640. Its totient is φ = 572832.

The previous prime is 2121043. The next prime is 2121121. The reversal of 2121084 is 4801212.

2121084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4567 + ... + 5009.

2^2121084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232320).

2121084 is an abundant number, since it is smaller than the sum of its proper divisors (4343556).

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

2121084 is a wasteful number, since it uses less digits than its factorization.

2121084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2121084 is about 1456.3941774121. The cubic root of 2121084 is about 128.4850573348.

Adding to 2121084 its product of nonzero digits (128), we get a palindrome (2121212).

Adding to 2121084 its reverse (4801212), we get a palindrome (6922296).

It can be divided in two parts, 212 and 1084, that added together give a 4-th power (1296 = 6⁴).

The spelling of 2121084 in words is "two million, one hundred twenty-one thousand, eighty-four".