2673680 has 40 divisors (see below), whose sum is σ = 6547200. Its totient is φ = 1012608.

The previous prime is 2673677. The next prime is 2673683. The reversal of 2673680 is 863762.

It is an interprime number because it is at equal distance from previous prime (2673677) and next prime (2673683).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2673683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 641 + ... + 2399.

It is an arithmetic number, because the mean of its divisors is an integer number (163680).

2^2673680 is an apocalyptic number.

2673680 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 2673680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273600).

2673680 is an abundant number, since it is smaller than the sum of its proper divisors (3873520).

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

2673680 is a wasteful number, since it uses less digits than its factorization.

2673680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 2673680 is about 1635.1391378106. The cubic root of 2673680 is about 138.7937177932.

The spelling of 2673680 in words is "two million, six hundred seventy-three thousand, six hundred eighty".