2505146166 has 48 divisors (see below), whose sum is σ = 5588751168. Its totient is φ = 810499200.

The previous prime is 2505146123. The next prime is 2505146213. The reversal of 2505146166 is 6616415052.

2505146166 is a `hidden beast` number, since 2 + 505 + 146 + 1 + 6 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2505146166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136771 + ... + 154001.

It is an arithmetic number, because the mean of its divisors is an integer number (116432316).

Almost surely, 2^2505146166 is an apocalyptic number.

2505146166 is an abundant number, since it is smaller than the sum of its proper divisors (3083605002).

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

2505146166 is a wasteful number, since it uses less digits than its factorization.

2505146166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17477 (or 17474 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2505146166 is about 50051.4352041977. The cubic root of 2505146166 is about 1358.1394262839.

It can be divided in two parts, 25051 and 46166, that added together give a palindrome (71217).

The spelling of 2505146166 in words is "two billion, five hundred five million, one hundred forty-six thousand, one hundred sixty-six".