2017200080 has 80 divisors (see below), whose sum is σ = 5373406080. Its totient is φ = 689880576.

The previous prime is 2017200079. The next prime is 2017200089. The reversal of 2017200080 is 800027102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2017200089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230342 + ... + 238938.

It is an arithmetic number, because the mean of its divisors is an integer number (67167576).

Almost surely, 2^2017200080 is an apocalyptic number.

2017200080 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 2017200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686703040).

2017200080 is an abundant number, since it is smaller than the sum of its proper divisors (3356206000).

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

2017200080 is a wasteful number, since it uses less digits than its factorization.

2017200080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9036 (or 9030 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 2017200080 is about 44913.2506060294. The cubic root of 2017200080 is about 1263.5225357094.

Adding to 2017200080 its reverse (800027102), we get a palindrome (2817227182).

The spelling of 2017200080 in words is "two billion, seventeen million, two hundred thousand, eighty".