2170080 has 144 divisors (see below), whose sum is σ = 8137584. Its totient is φ = 522240.

The previous prime is 2170061. The next prime is 2170109. The reversal of 2170080 is 800712.

2170080 = 171² + 172² + ... + 225².

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15772 + ... + 15908.

It is an arithmetic number, because the mean of its divisors is an integer number (56511).

2^2170080 is an apocalyptic number.

2170080 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 2170080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068792).

2170080 is an abundant number, since it is smaller than the sum of its proper divisors (5967504).

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

2170080 is a wasteful number, since it uses less digits than its factorization.

2170080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 2170080 is about 1473.1191397847. The cubic root of 2170080 is about 129.4668499894.

Adding to 2170080 its reverse (800712), we get a palindrome (2970792).

The spelling of 2170080 in words is "two million, one hundred seventy thousand, eighty".