2965166505 has 48 divisors (see below), whose sum is σ = 6183016320. Its totient is φ = 1284159744.

The previous prime is 2965166497. The next prime is 2965166557. The reversal of 2965166505 is 5056615692.

2965166505 is a `hidden beast` number, since 2 + 96 + 51 + 6 + 6 + 505 = 666.

It is not a de Polignac number, because 2965166505 - 2³ = 2965166497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241732 + ... + 253701.

It is an arithmetic number, because the mean of its divisors is an integer number (128812840).

Almost surely, 2^2965166505 is an apocalyptic number.

It is an amenable number.

2965166505 is an abundant number, since it is smaller than the sum of its proper divisors (3217849815).

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

2965166505 is a wasteful number, since it uses less digits than its factorization.

2965166505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495470 (or 495467 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 2965166505 is about 54453.3424593936. The cubic root of 2965166505 is about 1436.6457591812.

The spelling of 2965166505 in words is "two billion, nine hundred sixty-five million, one hundred sixty-six thousand, five hundred five".