2946168960 has 256 divisors, whose sum is σ = 10791567360. Its totient is φ = 669708288.

The previous prime is 2946168959. The next prime is 2946168977. The reversal of 2946168960 is 698616492.

2946168960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2996629 + ... + 2997611.

It is an arithmetic number, because the mean of its divisors is an integer number (42154560).

Almost surely, 2^2946168960 is an apocalyptic number.

2946168960 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 2946168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395783680).

2946168960 is an abundant number, since it is smaller than the sum of its proper divisors (7845398400).

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

2946168960 is a wasteful number, since it uses less digits than its factorization.

2946168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 2946168960 is about 54278.6234165901. The cubic root of 2946168960 is about 1433.5710315482.

The spelling of 2946168960 in words is "two billion, nine hundred forty-six million, one hundred sixty-eight thousand, nine hundred sixty".