2068080 has 80 divisors (see below), whose sum is σ = 7332864. Its totient is φ = 472320.

The previous prime is 2068069. The next prime is 2068109. The reversal of 2068080 is 808602.

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2068080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1065 + ... + 2295.

2^2068080 is an apocalyptic number.

2068080 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 2068080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666432).

2068080 is an abundant number, since it is smaller than the sum of its proper divisors (5264784).

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

2068080 is a wasteful number, since it uses less digits than its factorization.

2068080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2068080 is about 1438.0820560733. The cubic root of 2068080 is about 127.4057742882.

The spelling of 2068080 in words is "two million, sixty-eight thousand, eighty".