2579680 has 48 divisors (see below), whose sum is σ = 6368544. Its totient is φ = 985600.

The previous prime is 2579659. The next prime is 2579683. The reversal of 2579680 is 869752.

2579680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2579683) 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 7 ways as a sum of consecutive naturals, for example, 3330 + ... + 4030.

It is an arithmetic number, because the mean of its divisors is an integer number (132678).

2^2579680 is an apocalyptic number.

2579680 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 2579680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184272).

2579680 is an abundant number, since it is smaller than the sum of its proper divisors (3788864).

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

2579680 is a wasteful number, since it uses less digits than its factorization.

2579680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 2579680 is about 1606.1382256830. The cubic root of 2579680 is about 137.1477263483.

The spelling of 2579680 in words is "two million, five hundred seventy-nine thousand, six hundred eighty".