2580420 has 48 divisors (see below), whose sum is σ = 7479360. Its totient is φ = 663936.

The previous prime is 2580419. The next prime is 2580421. The reversal of 2580420 is 240852.

It is an interprime number because it is at equal distance from previous prime (2580419) and next prime (2580421).

It is not an unprimeable number, because it can be changed into a prime (2580421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999 + ... + 2481.

It is an arithmetic number, because the mean of its divisors is an integer number (155820).

2^2580420 is an apocalyptic number.

2580420 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 2580420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739680).

2580420 is an abundant number, since it is smaller than the sum of its proper divisors (4898940).

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

2580420 is a wasteful number, since it uses less digits than its factorization.

2580420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2580420 is about 1606.3685753898. The cubic root of 2580420 is about 137.1608390360.

The spelling of 2580420 in words is "two million, five hundred eighty thousand, four hundred twenty".