2017128960 has 640 divisors, whose sum is σ = 8956569600. Its totient is φ = 418037760.

The previous prime is 2017128929. The next prime is 2017128989. The reversal of 2017128960 is 698217102.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5322051 + ... + 5322429.

It is an arithmetic number, because the mean of its divisors is an integer number (13994640).

Almost surely, 2^2017128960 is an apocalyptic number.

2017128960 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 2017128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478284800).

2017128960 is an abundant number, since it is smaller than the sum of its proper divisors (6939440640).

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

2017128960 is a wasteful number, since it uses less digits than its factorization.

2017128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 2017128960 is about 44912.4588505239. The cubic root of 2017128960 is about 1263.5076862853.

The spelling of 2017128960 in words is "two billion, seventeen million, one hundred twenty-eight thousand, nine hundred sixty".