2697680 has 20 divisors (see below), whose sum is σ = 6272292. Its totient is φ = 1079040.

The previous prime is 2697661. The next prime is 2697689. The reversal of 2697680 is 867962.

It can be written as a sum of positive squares in 2 ways, for example, as 399424 + 2298256 = 632^2 + 1516^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2697689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16781 + ... + 16940.

2^2697680 is an apocalyptic number.

2697680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2697680 is an abundant number, since it is smaller than the sum of its proper divisors (3574612).

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

2697680 is a wasteful number, since it uses less digits than its factorization.

2697680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33734 (or 33728 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 2697680 is about 1642.4615672825. The cubic root of 2697680 is about 139.2077702977.

The spelling of 2697680 in words is "two million, six hundred ninety-seven thousand, six hundred eighty".