2128966164 has 144 divisors (see below), whose sum is σ = 5979411984. Its totient is φ = 634521600.

The previous prime is 2128966141. The next prime is 2128966193. The reversal of 2128966164 is 4616698212.

2128966164 is a `hidden beast` number, since 2 + 1 + 28 + 9 + 6 + 616 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1822436100 + 306530064 = 42690^2 + 17508^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3472722 + ... + 3473334.

Almost surely, 2^2128966164 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 2128966164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989705992).

2128966164 is an abundant number, since it is smaller than the sum of its proper divisors (3850445820).

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

2128966164 is a wasteful number, since it uses less digits than its factorization.

2128966164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 853 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 2128966164 is about 46140.7213207596. The cubic root of 2128966164 is about 1286.4401511216.

The spelling of 2128966164 in words is "two billion, one hundred twenty-eight million, nine hundred sixty-six thousand, one hundred sixty-four".