2580040 has 32 divisors (see below), whose sum is σ = 5919480. Its totient is φ = 1011712.

The previous prime is 2580031. The next prime is 2580049. The reversal of 2580040 is 400852.

It is a happy number.

2580040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2580031) and next prime (2580049).

It can be written as a sum of positive squares in 4 ways, for example, as 2125764 + 454276 = 1458^2 + 674^2 .

It is not an unprimeable number, because it can be changed into a prime (2580049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1512 + ... + 2728.

2^2580040 is an apocalyptic number.

2580040 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 2580040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959740).

2580040 is an abundant number, since it is smaller than the sum of its proper divisors (3339440).

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

2580040 is a wasteful number, since it uses less digits than its factorization.

2580040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2580040 is about 1606.2502918288. The cubic root of 2580040 is about 137.1541058068.

Adding to 2580040 its reverse (400852), we get a palindrome (2980892).

It can be divided in two parts, 25 and 80040, that multiplied together give a triangular number (2001000 = T₂₀₀₀).

The spelling of 2580040 in words is "two million, five hundred eighty thousand, forty".