2578960 has 20 divisors (see below), whose sum is σ = 5996268. Its totient is φ = 1031552.

The previous prime is 2578943. The next prime is 2578963. The reversal of 2578960 is 698752.

It can be written as a sum of positive squares in 2 ways, for example, as 1893376 + 685584 = 1376^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2578963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16039 + ... + 16198.

2^2578960 is an apocalyptic number.

2578960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2578960 is an abundant number, since it is smaller than the sum of its proper divisors (3417308).

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

2578960 is a wasteful number, since it uses less digits than its factorization.

2578960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32250 (or 32244 counting only the distinct ones).

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

The square root of 2578960 is about 1605.9140699303. The cubic root of 2578960 is about 137.1349656504.

The spelling of 2578960 in words is "two million, five hundred seventy-eight thousand, nine hundred sixty".