2966066208 has 96 divisors (see below), whose sum is σ = 9886907520. Its totient is φ = 847445760.

The previous prime is 2966066197. The next prime is 2966066221. The reversal of 2966066208 is 8026606692.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239163 + ... + 251258.

It is an arithmetic number, because the mean of its divisors is an integer number (102988620).

Almost surely, 2^2966066208 is an apocalyptic number.

2966066208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2966066208 is an abundant number, since it is smaller than the sum of its proper divisors (6920841312).

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

2966066208 is a wasteful number, since it uses less digits than its factorization.

2966066208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490447 (or 490433 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2966066208 is about 54461.6030612394. The cubic root of 2966066208 is about 1436.7910488064.

The spelling of 2966066208 in words is "two billion, nine hundred sixty-six million, sixty-six thousand, two hundred eight".