2182509216 has 72 divisors (see below), whose sum is σ = 6214306644. Its totient is φ = 726589440.

The previous prime is 2182509193. The next prime is 2182509223. The reversal of 2182509216 is 6129052812.

It can be written as a sum of positive squares in 2 ways, for example, as 2151104400 + 31404816 = 46380^2 + 5604^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 248256 + ... + 256896.

Almost surely, 2^2182509216 is an apocalyptic number.

It is an amenable number.

2182509216 is an abundant number, since it is smaller than the sum of its proper divisors (4031797428).

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

2182509216 is a wasteful number, since it uses less digits than its factorization.

2182509216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9534 (or 9523 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2182509216 is about 46717.3331430637. Note that the first 3 decimals coincide. The cubic root of 2182509216 is about 1297.1355502407.

The spelling of 2182509216 in words is "two billion, one hundred eighty-two million, five hundred nine thousand, two hundred sixteen".