2082751160 has 64 divisors (see below), whose sum is σ = 5378227200. Its totient is φ = 711075456.

The previous prime is 2082751159. The next prime is 2082751171. The reversal of 2082751160 is 611572802.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 51359 + ... + 82481.

It is an arithmetic number, because the mean of its divisors is an integer number (84034800).

Almost surely, 2^2082751160 is an apocalyptic number.

2082751160 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 2082751160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689113600).

2082751160 is an abundant number, since it is smaller than the sum of its proper divisors (3295476040).

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

2082751160 is a wasteful number, since it uses less digits than its factorization.

2082751160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31380 (or 31376 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 2082751160 is about 45637.1686238312. The cubic root of 2082751160 is about 1277.0634095950.

The spelling of 2082751160 in words is "two billion, eighty-two million, seven hundred fifty-one thousand, one hundred sixty".