2677680 has 60 divisors (see below), whose sum is σ = 8994960. Its totient is φ = 713856.

The previous prime is 2677673. The next prime is 2677681. The reversal of 2677680 is 867762.

2677680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2677681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1140 + ... + 2579.

It is an arithmetic number, because the mean of its divisors is an integer number (149916).

2^2677680 is an apocalyptic number.

2677680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2677680 is an abundant number, since it is smaller than the sum of its proper divisors (6317280).

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

2677680 is a wasteful number, since it uses less digits than its factorization.

2677680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2677680 is about 1636.3618181808. The cubic root of 2677680 is about 138.8628981292.

The spelling of 2677680 in words is "two million, six hundred seventy-seven thousand, six hundred eighty".