2580768 has 96 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 822528.

The previous prime is 2580757. The next prime is 2580791. The reversal of 2580768 is 8670852.

2580768 is a `hidden beast` number, since 2 + 580 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25005 + ... + 25107.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

2^2580768 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 2580768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2580768 is an abundant number, since it is smaller than the sum of its proper divisors (5281632).

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

2580768 is a wasteful number, since it uses less digits than its factorization.

2580768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2580768 is about 1606.4768905901. The cubic root of 2580768 is about 137.1670046765.

The spelling of 2580768 in words is "two million, five hundred eighty thousand, seven hundred sixty-eight".