2966146417 has 16 divisors (see below), whose sum is σ = 3386374992. Its totient is φ = 2573752320.

The previous prime is 2966146397. The next prime is 2966146423. The reversal of 2966146417 is 7146416692.

It can be written as a sum of positive squares in 8 ways, for example, as 817731216 + 2148415201 = 28596^2 + 46351^2 .

It is a cyclic number.

It is not a de Polignac number, because 2966146417 - 2²³ = 2957757809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2966146717) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 181567 + ... + 197227.

It is an arithmetic number, because the mean of its divisors is an integer number (211648437).

Almost surely, 2^2966146417 is an apocalyptic number.

It is an amenable number.

2966146417 is a deficient number, since it is larger than the sum of its proper divisors (420228575).

2966146417 is a wasteful number, since it uses less digits than its factorization.

2966146417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16548.

The product of its digits is 435456, while the sum is 46.

The square root of 2966146417 is about 54462.3394374498. The cubic root of 2966146417 is about 1436.8040000272.

It can be divided in two parts, 296614 and 6417, that added together give a triangular number (303031 = T₇₇₈).

The spelling of 2966146417 in words is "two billion, nine hundred sixty-six million, one hundred forty-six thousand, four hundred seventeen".