2079168000 has 960 divisors, whose sum is σ = 9169288128. Its totient is φ = 412876800.

The previous prime is 2079167989. The next prime is 2079168001. The reversal of 2079168000 is 8619702.

2079168000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2079168001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122303992 + ... + 122304008.

Almost surely, 2^2079168000 is an apocalyptic number.

2079168000 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 2079168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584644064).

2079168000 is an abundant number, since it is smaller than the sum of its proper divisors (7090120128).

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

2079168000 is a wasteful number, since it uses less digits than its factorization.

2079168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 2079168000 is about 45597.8946882419. The cubic root of 2079168000 is about 1276.3306369590.

The spelling of 2079168000 in words is "two billion, seventy-nine million, one hundred sixty-eight thousand".