2705831960 has 96 divisors (see below), whose sum is σ = 6613429680. Its totient is φ = 995904000.

The previous prime is 2705831897. The next prime is 2705831969. The reversal of 2705831960 is 691385072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2705831969) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3859610 + ... + 3860310.

Almost surely, 2^2705831960 is an apocalyptic number.

2705831960 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 2705831960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306714840).

2705831960 is an abundant number, since it is smaller than the sum of its proper divisors (3907597720).

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

2705831960 is a wasteful number, since it uses less digits than its factorization.

2705831960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 2705831960 is about 52017.6120174696. The cubic root of 2705831960 is about 1393.4785054104.

The spelling of 2705831960 in words is "two billion, seven hundred five million, eight hundred thirty-one thousand, nine hundred sixty".