2680480 has 48 divisors (see below), whose sum is σ = 6912864. Its totient is φ = 974080.

The previous prime is 2680471. The next prime is 2680481. The reversal of 2680480 is 840862.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2680481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 999 + ... + 2521.

It is an arithmetic number, because the mean of its divisors is an integer number (144018).

2^2680480 is an apocalyptic number.

2680480 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 2680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456432).

2680480 is an abundant number, since it is smaller than the sum of its proper divisors (4232384).

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

2680480 is a wasteful number, since it uses less digits than its factorization.

2680480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2680480 is about 1637.2171511440. The cubic root of 2680480 is about 138.9112833815.

It can be divided in two parts, 2680 and 480, that added together give a triangular number (3160 = T₇₉).

The spelling of 2680480 in words is "two million, six hundred eighty thousand, four hundred eighty".