2018792160 has 1080 divisors, whose sum is σ = 9604431144. Its totient is φ = 394813440.

The previous prime is 2018792119. The next prime is 2018792183. The reversal of 2018792160 is 612978102.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 118752472 + ... + 118752488.

Almost surely, 2^2018792160 is an apocalyptic number.

2018792160 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 2018792160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802215572).

2018792160 is an abundant number, since it is smaller than the sum of its proper divisors (7585638984).

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

2018792160 is a wasteful number, since it uses less digits than its factorization.

2018792160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 2018792160 is about 44930.9710556093. The cubic root of 2018792160 is about 1263.8548610256.

The spelling of 2018792160 in words is "two billion, eighteen million, seven hundred ninety-two thousand, one hundred sixty".