2209841984 has 140 divisors (see below), whose sum is σ = 5212112004. Its totient is φ = 929359872.

The previous prime is 2209841971. The next prime is 2209842017. The reversal of 2209841984 is 4891489022.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1825681984 + 384160000 = 42728^2 + 19600^2 .

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 19 ways as a sum of consecutive naturals, for example, 11217374 + ... + 11217570.

Almost surely, 2^2209841984 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 2209841984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606056002).

2209841984 is an abundant number, since it is smaller than the sum of its proper divisors (3002270020).

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

2209841984 is an frugal number, since it uses more digits than its factorization.

2209841984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The square root of 2209841984 is about 47008.9564232179. The cubic root of 2209841984 is about 1302.5280164619.

The spelling of 2209841984 in words is "two billion, two hundred nine million, eight hundred forty-one thousand, nine hundred eighty-four".