2150007168 has 128 divisors (see below), whose sum is σ = 6072019200. Its totient is φ = 672122880.

The previous prime is 2150007163. The next prime is 2150007193. The reversal of 2150007168 is 8617000512.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2150007163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750058 + ... + 752918.

It is an arithmetic number, because the mean of its divisors is an integer number (47437650).

Almost surely, 2^2150007168 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 2150007168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036009600).

2150007168 is an abundant number, since it is smaller than the sum of its proper divisors (3922012032).

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

2150007168 is a wasteful number, since it uses less digits than its factorization.

2150007168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 2150007168 is about 46368.1697719459. The cubic root of 2150007168 is about 1290.6643150091.

The spelling of 2150007168 in words is "two billion, one hundred fifty million, seven thousand, one hundred sixty-eight".