2028080160 has 384 divisors, whose sum is σ = 7384608000. Its totient is φ = 519561216.

The previous prime is 2028080147. The next prime is 2028080189. The reversal of 2028080160 is 610808202.

It is a super-2 number, since 2×2028080160² = 8226218270771251200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18606186 + ... + 18606294.

It is an arithmetic number, because the mean of its divisors is an integer number (19230750).

Almost surely, 2^2028080160 is an apocalyptic number.

2028080160 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 2028080160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692304000).

2028080160 is an abundant number, since it is smaller than the sum of its proper divisors (5356527840).

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

2028080160 is a wasteful number, since it uses less digits than its factorization.

2028080160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2028080160 is about 45034.2109956420. The cubic root of 2028080160 is about 1265.7901316498.

Adding to 2028080160 its reverse (610808202), we get a palindrome (2638888362).

The spelling of 2028080160 in words is "two billion, twenty-eight million, eighty thousand, one hundred sixty".