2067967728 has 120 divisors (see below), whose sum is σ = 6047514720. Its totient is φ = 658828800.

The previous prime is 2067967723. The next prime is 2067967751. The reversal of 2067967728 is 8277697602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067967721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419325 + ... + 424227.

It is an arithmetic number, because the mean of its divisors is an integer number (50395956).

Almost surely, 2^2067967728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2067967728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023757360).

2067967728 is an abundant number, since it is smaller than the sum of its proper divisors (3979546992).

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

2067967728 is a wasteful number, since it uses less digits than its factorization.

2067967728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047 (or 5038 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 2067967728 is about 45474.9131719897. The cubic root of 2067967728 is about 1274.0346871006.

The spelling of 2067967728 in words is "two billion, sixty-seven million, nine hundred sixty-seven thousand, seven hundred twenty-eight".