2683845760 has 128 divisors (see below), whose sum is σ = 7151587200. Its totient is φ = 957136896.

The previous prime is 2683845751. The next prime is 2683845767. The reversal of 2683845760 is 675483862.

2683845760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2683845767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200229 + ... + 213211.

It is an arithmetic number, because the mean of its divisors is an integer number (55871775).

Almost surely, 2^2683845760 is an apocalyptic number.

2683845760 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 2683845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575793600).

2683845760 is an abundant number, since it is smaller than the sum of its proper divisors (4467741440).

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

2683845760 is a wasteful number, since it uses less digits than its factorization.

2683845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13038 (or 13026 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

The square root of 2683845760 is about 51805.8467742783. The cubic root of 2683845760 is about 1389.6940064495.

The spelling of 2683845760 in words is "two billion, six hundred eighty-three million, eight hundred forty-five thousand, seven hundred sixty".