2205984 has 48 divisors (see below), whose sum is σ = 6320160. Its totient is φ = 668160.

The previous prime is 2205949. The next prime is 2205989. The reversal of 2205984 is 4895022.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2205989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12 + ... + 2100.

It is an arithmetic number, because the mean of its divisors is an integer number (131670).

2^2205984 is an apocalyptic number.

2205984 is a gapful number since it is divisible by the number (24) 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 2205984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160080).

2205984 is an abundant number, since it is smaller than the sum of its proper divisors (4114176).

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

2205984 is a wasteful number, since it uses less digits than its factorization.

2205984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2205984 is about 1485.2555335699. The cubic root of 2205984 is about 130.1769582232.

The spelling of 2205984 in words is "two million, two hundred five thousand, nine hundred eighty-four".