2668164000 has 96 divisors (see below), whose sum is σ = 8740944576. Its totient is φ = 711507200.

The previous prime is 2668163987. The next prime is 2668164041. The reversal of 2668164000 is 4618662.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99174 + ... + 123173.

It is an arithmetic number, because the mean of its divisors is an integer number (91051506).

Almost surely, 2^2668164000 is an apocalyptic number.

2668164000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2668164000 is an abundant number, since it is smaller than the sum of its proper divisors (6072780576).

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

2668164000 is a wasteful number, since it uses less digits than its factorization.

2668164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222375 (or 222357 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2668164000 is about 51654.2737825245. The cubic root of 2668164000 is about 1386.9820483747.

The spelling of 2668164000 in words is "two billion, six hundred sixty-eight million, one hundred sixty-four thousand".