2581280 has 96 divisors (see below), whose sum is σ = 7048944. Its totient is φ = 884736.

The previous prime is 2581279. The next prime is 2581289. The reversal of 2581280 is 821852.

It can be written as a sum of positive squares in 8 ways, for example, as 1073296 + 1507984 = 1036^2 + 1228^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (2581289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35324 + ... + 35396.

2^2581280 is an apocalyptic number.

2581280 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 2581280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524472).

2581280 is an abundant number, since it is smaller than the sum of its proper divisors (4467664).

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

2581280 is a wasteful number, since it uses less digits than its factorization.

2581280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 2581280 is about 1606.6362376095. The cubic root of 2581280 is about 137.1760749562.

The spelling of 2581280 in words is "two million, five hundred eighty-one thousand, two hundred eighty".