2679680 has 64 divisors (see below), whose sum is σ = 6609600. Its totient is φ = 1038336.

The previous prime is 2679673. The next prime is 2679697. The reversal of 2679680 is 869762.

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

It is a d-powerful number, because it can be written as 2²¹ + 6³ + 7⁵ + 9⁶ + 6⁴ + 8⁵ + 0 .

It is a congruent number.

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, 33881 + ... + 33959.

It is an arithmetic number, because the mean of its divisors is an integer number (103275).

2^2679680 is an apocalyptic number.

2679680 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 2679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304800).

2679680 is an abundant number, since it is smaller than the sum of its proper divisors (3929920).

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

2679680 is an equidigital number, since it uses as much as digits as its factorization.

2679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 139 counting only the distinct ones).

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

The square root of 2679680 is about 1636.9728159014. The cubic root of 2679680 is about 138.8974624633.

The spelling of 2679680 in words is "two million, six hundred seventy-nine thousand, six hundred eighty".