2106182656 has 88 divisors (see below), whose sum is σ = 4450079744. Its totient is φ = 994775040.

The previous prime is 2106182653. The next prime is 2106182671. The reversal of 2106182656 is 6562816012.

It is not an unprimeable number, because it can be changed into a prime (2106182653) 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 7 ways as a sum of consecutive naturals, for example, 1364221 + ... + 1365763.

It is an arithmetic number, because the mean of its divisors is an integer number (50569088).

Almost surely, 2^2106182656 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 2106182656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225039872).

2106182656 is an abundant number, since it is smaller than the sum of its proper divisors (2343897088).

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

2106182656 is a wasteful number, since it uses less digits than its factorization.

2106182656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 2106182656 is about 45893.1656785626. The cubic root of 2106182656 is about 1281.8346607384.

Adding to 2106182656 its reverse (6562816012), we get a palindrome (8668998668).

The spelling of 2106182656 in words is "two billion, one hundred six million, one hundred eighty-two thousand, six hundred fifty-six".