2966886692 has 72 divisors (see below), whose sum is σ = 6609355200. Its totient is φ = 1152325440.

The previous prime is 2966886667. The next prime is 2966886701.

2966886692 is nontrivially palindromic in base 10.

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, 750473 + ... + 754415.

It is an arithmetic number, because the mean of its divisors is an integer number (91796600).

Almost surely, 2^2966886692 is an apocalyptic number.

2966886692 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2966886692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304677600).

2966886692 is an abundant number, since it is smaller than the sum of its proper divisors (3642468508).

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

2966886692 is a wasteful number, since it uses less digits than its factorization.

2966886692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4321 (or 4312 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 62.

The square root of 2966886692 is about 54469.1352235374. The cubic root of 2966886692 is about 1436.9235200439.

The spelling of 2966886692 in words is "two billion, nine hundred sixty-six million, eight hundred eighty-six thousand, six hundred ninety-two".