2538580 has 36 divisors (see below), whose sum is σ = 5865300. Its totient is φ = 922240.

The previous prime is 2538577. The next prime is 2538589. The reversal of 2538580 is 858352.

2538580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1684804 + 853776 = 1298^2 + 924^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538589) 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 11 ways as a sum of consecutive naturals, for example, 1896 + ... + 2944.

It is an arithmetic number, because the mean of its divisors is an integer number (162925).

2^2538580 is an apocalyptic number.

2538580 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 2538580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932650).

2538580 is an abundant number, since it is smaller than the sum of its proper divisors (3326720).

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

2538580 is a wasteful number, since it uses less digits than its factorization.

2538580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 2538580 is about 1593.2921891480. The cubic root of 2538580 is about 136.4154682423.

The spelling of 2538580 in words is "two million, five hundred thirty-eight thousand, five hundred eighty".