2970975168 has 168 divisors, whose sum is σ = 9771806720. Its totient is φ = 845406720.

The previous prime is 2970975167. The next prime is 2970975187. The reversal of 2970975168 is 8615790792.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2970975167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1091313 + ... + 1094031.

Almost surely, 2^2970975168 is an apocalyptic number.

2970975168 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 2970975168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885903360).

2970975168 is an abundant number, since it is smaller than the sum of its proper divisors (6800831552).

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

2970975168 is a wasteful number, since it uses less digits than its factorization.

2970975168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3015 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 2970975168 is about 54506.6525114137. The cubic root of 2970975168 is about 1437.5832610929.

The spelling of 2970975168 in words is "two billion, nine hundred seventy million, nine hundred seventy-five thousand, one hundred sixty-eight".