2128001760 has 192 divisors, whose sum is σ = 7478775360. Its totient is φ = 565125120.

The previous prime is 2128001753. The next prime is 2128001761. The reversal of 2128001760 is 671008212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128001761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1213044 + ... + 1214796.

It is an arithmetic number, because the mean of its divisors is an integer number (38951955).

Almost surely, 2^2128001760 is an apocalyptic number.

2128001760 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 2128001760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739387680).

2128001760 is an abundant number, since it is smaller than the sum of its proper divisors (5350773600).

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

2128001760 is a wasteful number, since it uses less digits than its factorization.

2128001760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2128001760 is about 46130.2694550986. The cubic root of 2128001760 is about 1286.2458728799.

Adding to 2128001760 its reverse (671008212), we get a palindrome (2799009972).

The spelling of 2128001760 in words is "two billion, one hundred twenty-eight million, one thousand, seven hundred sixty".