2731680 has 144 divisors (see below), whose sum is σ = 10692864. Its totient is φ = 622080.

The previous prime is 2731669. The next prime is 2731681. The reversal of 2731680 is 861372.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2731681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9945 + ... + 10215.

It is an arithmetic number, because the mean of its divisors is an integer number (74256).

2^2731680 is an apocalyptic number.

2731680 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 2731680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346432).

2731680 is an abundant number, since it is smaller than the sum of its proper divisors (7961184).

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

2731680 is a wasteful number, since it uses less digits than its factorization.

2731680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2731680 is about 1652.7794771233. The cubic root of 2731680 is about 139.7901618329.

It can be divided in two parts, 273 and 1680, that added together give a triangular number (1953 = T₆₂).

The spelling of 2731680 in words is "two million, seven hundred thirty-one thousand, six hundred eighty".