2967868160 has 216 divisors, whose sum is σ = 7725878496. Its totient is φ = 1091829760.

The previous prime is 2967868147. The next prime is 2967868171. The reversal of 2967868160 is 618687692.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26264264 + ... + 26264376.

It is an arithmetic number, because the mean of its divisors is an integer number (35767956).

Almost surely, 2^2967868160 is an apocalyptic number.

2967868160 is a gapful number since it is divisible by the number (20) 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 2967868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862939248).

2967868160 is an abundant number, since it is smaller than the sum of its proper divisors (4758010336).

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

2967868160 is a wasteful number, since it uses less digits than its factorization.

2967868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 53.

The square root of 2967868160 is about 54478.1438744016. The cubic root of 2967868160 is about 1437.0819508746.

The spelling of 2967868160 in words is "two billion, nine hundred sixty-seven million, eight hundred sixty-eight thousand, one hundred sixty".