2605073166 has 72 divisors (see below), whose sum is σ = 6311686680. Its totient is φ = 774233856.

The previous prime is 2605073113. The next prime is 2605073167. The reversal of 2605073166 is 6613705062.

2605073166 is a `hidden beast` number, since 2 + 60 + 507 + 31 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2605073166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2605073167) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85660 + ... + 112016.

It is an arithmetic number, because the mean of its divisors is an integer number (87662315).

Almost surely, 2^2605073166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2605073166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155843340).

2605073166 is an abundant number, since it is smaller than the sum of its proper divisors (3706613514).

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

2605073166 is a wasteful number, since it uses less digits than its factorization.

2605073166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26418 (or 26398 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2605073166 is about 51039.9173784598. The cubic root of 2605073166 is about 1375.9626389120.

The spelling of 2605073166 in words is "two billion, six hundred five million, seventy-three thousand, one hundred sixty-six".