2593280 has 40 divisors (see below), whose sum is σ = 6223932. Its totient is φ = 1036288.

The previous prime is 2593277. The next prime is 2593301. The reversal of 2593280 is 823952.

It can be written as a sum of positive squares in 2 ways, for example, as 2119936 + 473344 = 1456^2 + 688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2054 + ... + 3066.

2^2593280 is an apocalyptic number.

2593280 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 2593280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111966).

2593280 is an abundant number, since it is smaller than the sum of its proper divisors (3630652).

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

2593280 is an equidigital number, since it uses as much as digits as its factorization.

2593280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 2593280 is about 1610.3664179310. The cubic root of 2593280 is about 137.3883170247.

The spelling of 2593280 in words is "two million, five hundred ninety-three thousand, two hundred eighty".