2017198080 has 380 divisors, whose sum is σ = 7612647240. Its totient is φ = 509607936.

The previous prime is 2017198063. The next prime is 2017198091. The reversal of 2017198080 is 808917102.

It is a tau number, because it is divible by the number of its divisors (380).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106168311 + ... + 106168329.

Almost surely, 2^2017198080 is an apocalyptic number.

2017198080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2017198080 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2017198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806323620).

2017198080 is an abundant number, since it is smaller than the sum of its proper divisors (5595449160).

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

2017198080 is an frugal number, since it uses more digits than its factorization.

2017198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 2017198080 is about 44913.2283408797. The cubic root of 2017198080 is about 1263.5221181263.

The spelling of 2017198080 in words is "two billion, seventeen million, one hundred ninety-eight thousand, eighty".