2171664846 has 48 divisors (see below), whose sum is σ = 5079831120. Its totient is φ = 666541440.

The previous prime is 2171664841. The next prime is 2171664863. The reversal of 2171664846 is 6484661712.

2171664846 is a `hidden beast` number, since 2 + 1 + 7 + 166 + 484 + 6 = 666.

2171664846 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2171664846² = 9432256406704407432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2171664841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84361 + ... + 107051.

It is an arithmetic number, because the mean of its divisors is an integer number (105829815).

Almost surely, 2^2171664846 is an apocalyptic number.

2171664846 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2171664846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539915560).

2171664846 is an abundant number, since it is smaller than the sum of its proper divisors (2908166274).

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

2171664846 is a wasteful number, since it uses less digits than its factorization.

2171664846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23121 (or 23118 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2171664846 is about 46601.1249435032. The cubic root of 2171664846 is about 1294.9835959421.

The spelling of 2171664846 in words is "two billion, one hundred seventy-one million, six hundred sixty-four thousand, eight hundred forty-six".