2711680 has 64 divisors (see below), whose sum is σ = 6854400. Its totient is φ = 1022976.

The previous prime is 2711669. The next prime is 2711707. The reversal of 2711680 is 861172.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12049 + ... + 12271.

It is an arithmetic number, because the mean of its divisors is an integer number (107100).

2^2711680 is an apocalyptic number.

2711680 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 2711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427200).

2711680 is an abundant number, since it is smaller than the sum of its proper divisors (4142720).

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

2711680 is a wasteful number, since it uses less digits than its factorization.

2711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 2711680 is about 1646.7179479194. The cubic root of 2711680 is about 139.4481678603.

The spelling of 2711680 in words is "two million, seven hundred eleven thousand, six hundred eighty".