2580688 has 60 divisors (see below), whose sum is σ = 5805184. Its totient is φ = 1108800.

The previous prime is 2580673. The next prime is 2580689. The reversal of 2580688 is 8860852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59995 + ... + 60037.

2^2580688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2580688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902592).

2580688 is an abundant number, since it is smaller than the sum of its proper divisors (3224496).

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

2580688 is a wasteful number, since it uses less digits than its factorization.

2580688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 2580688 is about 1606.4519911905. The cubic root of 2580688 is about 137.1655873370.

The spelling of 2580688 in words is "two million, five hundred eighty thousand, six hundred eighty-eight".