2680080 has 80 divisors (see below), whose sum is σ = 8957760. Its totient is φ = 658944.

The previous prime is 2680079. The next prime is 2680087. The reversal of 2680080 is 800862.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2680080.

It is not an unprimeable number, because it can be changed into a prime (2680087) 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, 2691 + ... + 3549.

It is an arithmetic number, because the mean of its divisors is an integer number (111972).

2^2680080 is an apocalyptic number.

2680080 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 2680080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478880).

2680080 is an abundant number, since it is smaller than the sum of its proper divisors (6277680).

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

2680080 is a wasteful number, since it uses less digits than its factorization.

2680080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 882 counting only the distinct ones).

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

The square root of 2680080 is about 1637.0949880810. The cubic root of 2680080 is about 138.9043732662.

The spelling of 2680080 in words is "two million, six hundred eighty thousand, eighty".