2580000 has 120 divisors (see below), whose sum is σ = 8659728. Its totient is φ = 672000.

The previous prime is 2579999. The next prime is 2580031. The reversal of 2580000 is 852.

2580000 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59979 + ... + 60021.

2^2580000 is an apocalyptic number.

2580000 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 2580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4329864).

2580000 is an abundant number, since it is smaller than the sum of its proper divisors (6079728).

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

2580000 is an equidigital number, since it uses as much as digits as its factorization.

2580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2580000 is about 1606.2378404209. The cubic root of 2580000 is about 137.1533970074.

Adding to 2580000 its reverse (852), we get a palindrome (2580852).

The spelling of 2580000 in words is "two million, five hundred eighty thousand".