2017102080 has 144 divisors (see below), whose sum is σ = 7362520704. Its totient is φ = 461045760.

The previous prime is 2017102069. The next prime is 2017102103. The reversal of 2017102080 is 802017102.

It is a super-2 number, since 2×2017102080² = 8137401602280652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10641 + ... + 64400.

It is an arithmetic number, because the mean of its divisors is an integer number (51128616).

Almost surely, 2^2017102080 is an apocalyptic number.

2017102080 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 2017102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681260352).

2017102080 is an abundant number, since it is smaller than the sum of its proper divisors (5345418624).

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

2017102080 is an equidigital number, since it uses as much as digits as its factorization.

2017102080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75072 (or 75058 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 2017102080 is about 44912.1596007139. The cubic root of 2017102080 is about 1263.5020738136.

Adding to 2017102080 its reverse (802017102), we get a palindrome (2819119182).

The spelling of 2017102080 in words is "two billion, seventeen million, one hundred two thousand, eighty".