2182676160 has 224 divisors, whose sum is σ = 7950159360. Its totient is φ = 497000448.

The previous prime is 2182676137. The next prime is 2182676161. The reversal of 2182676160 is 616762812.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (2182676161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2546452 + ... + 2547308.

Almost surely, 2^2182676160 is an apocalyptic number.

2182676160 is a gapful number since it is divisible by the number (20) 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 2182676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975079680).

2182676160 is an abundant number, since it is smaller than the sum of its proper divisors (5767483200).

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

2182676160 is a wasteful number, since it uses less digits than its factorization.

2182676160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2182676160 is about 46719.1198547233. The cubic root of 2182676160 is about 1297.1686227969.

The spelling of 2182676160 in words is "two billion, one hundred eighty-two million, six hundred seventy-six thousand, one hundred sixty".