2182291488 has 144 divisors (see below), whose sum is σ = 6749346240. Its totient is φ = 664837632.

The previous prime is 2182291477. The next prime is 2182291523. The reversal of 2182291488 is 8841922812.

2182291488 is a `hidden beast` number, since 2 + 1 + 82 + 2 + 91 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2182291488² = 9524792277194508288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 382803 + ... + 388461.

It is an arithmetic number, because the mean of its divisors is an integer number (46870460).

Almost surely, 2^2182291488 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 2182291488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374673120).

2182291488 is an abundant number, since it is smaller than the sum of its proper divisors (4567054752).

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

2182291488 is a wasteful number, since it uses less digits than its factorization.

2182291488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5791 (or 5780 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 2182291488 is about 46715.0028149416. The cubic root of 2182291488 is about 1297.0924145510.

The spelling of 2182291488 in words is "two billion, one hundred eighty-two million, two hundred ninety-one thousand, four hundred eighty-eight".