2966631408 has 180 divisors, whose sum is σ = 9065227080. Its totient is φ = 905209344.

The previous prime is 2966631407. The next prime is 2966631419. The reversal of 2966631408 is 8041366692.

2966631408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2966631403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3382266 + ... + 3383142.

Almost surely, 2^2966631408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2966631408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532613540).

2966631408 is an abundant number, since it is smaller than the sum of its proper divisors (6098595672).

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

2966631408 is a wasteful number, since it uses less digits than its factorization.

2966631408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1034 counting only the distinct ones).

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

The square root of 2966631408 is about 54466.7917909619. The cubic root of 2966631408 is about 1436.8823057854.

The spelling of 2966631408 in words is "two billion, nine hundred sixty-six million, six hundred thirty-one thousand, four hundred eight".