2966208 has 56 divisors (see below), whose sum is σ = 8973312. Its totient is φ = 847104.

The previous prime is 2966189. The next prime is 2966219. The reversal of 2966208 is 8026692.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241 + ... + 2447.

2^2966208 is an apocalyptic number.

2966208 is a gapful number since it is divisible by the number (28) 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 2966208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486656).

2966208 is an abundant number, since it is smaller than the sum of its proper divisors (6007104).

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

2966208 is a wasteful number, since it uses less digits than its factorization.

2966208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2966208 is about 1722.2682717858. The cubic root of 2966208 is about 143.6813943579.

The spelling of 2966208 in words is "two million, nine hundred sixty-six thousand, two hundred eight".