2605741160 has 64 divisors (see below), whose sum is σ = 6431443200. Its totient is φ = 942278400.

The previous prime is 2605741157. The next prime is 2605741213. The reversal of 2605741160 is 611475062.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63281 + ... + 95999.

It is an arithmetic number, because the mean of its divisors is an integer number (100491300).

Almost surely, 2^2605741160 is an apocalyptic number.

2605741160 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 2605741160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215721600).

2605741160 is an abundant number, since it is smaller than the sum of its proper divisors (3825702040).

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

2605741160 is a wasteful number, since it uses less digits than its factorization.

2605741160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32922 (or 32918 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 2605741160 is about 51046.4607979829. The cubic root of 2605741160 is about 1376.0802371748.

The spelling of 2605741160 in words is "two billion, six hundred five million, seven hundred forty-one thousand, one hundred sixty".