2028186160 has 640 divisors, whose sum is σ = 7039549440. Its totient is φ = 522547200.

The previous prime is 2028186143. The next prime is 2028186163. The reversal of 2028186160 is 616818202.

It is a super-2 number, since 2×2028186160² = 8227078199231091200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2028186163) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47167099 + ... + 47167141.

It is an arithmetic number, because the mean of its divisors is an integer number (10999296).

Almost surely, 2^2028186160 is an apocalyptic number.

2028186160 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 2028186160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519774720).

2028186160 is an abundant number, since it is smaller than the sum of its proper divisors (5011363280).

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

2028186160 is a wasteful number, since it uses less digits than its factorization.

2028186160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 2028186160 is about 45035.3878633237. The cubic root of 2028186160 is about 1265.8121839366.

The spelling of 2028186160 in words is "two billion, twenty-eight million, one hundred eighty-six thousand, one hundred sixty".