2966703168 has 448 divisors, whose sum is σ = 9995489280. Its totient is φ = 769443840.

The previous prime is 2966703163. The next prime is 2966703197. The reversal of 2966703168 is 8613076692.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2966703163) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 63121321 + ... + 63121367.

It is an arithmetic number, because the mean of its divisors is an integer number (22311360).

Almost surely, 2^2966703168 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 2966703168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4997744640).

2966703168 is an abundant number, since it is smaller than the sum of its proper divisors (7028786112).

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

2966703168 is a wasteful number, since it uses less digits than its factorization.

2966703168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 2966703168 is about 54467.4505369950. The cubic root of 2966703168 is about 1436.8938912987.

The spelling of 2966703168 in words is "two billion, nine hundred sixty-six million, seven hundred three thousand, one hundred sixty-eight".