2580720000 has 160 divisors (see below), whose sum is σ = 8566851480. Its totient is φ = 688128000.

The previous prime is 2580719963. The next prime is 2580720001. The reversal of 2580720000 is 270852.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580720001) 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 19 ways as a sum of consecutive naturals, for example, 234624 + ... + 245376.

Almost surely, 2^2580720000 is an apocalyptic number.

2580720000 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 2580720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4283425740).

2580720000 is an abundant number, since it is smaller than the sum of its proper divisors (5986131480).

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

2580720000 is an equidigital number, since it uses as much as digits as its factorization.

2580720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10790 (or 10763 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 2580720000 is about 50800.7873954725. The cubic root of 2580720000 is about 1371.6615427630.

Adding to 2580720000 its reverse (270852), we get a palindrome (2580990852).

The spelling of 2580720000 in words is "two billion, five hundred eighty million, seven hundred twenty thousand".