2590728 has 48 divisors (see below), whose sum is σ = 7537680. Its totient is φ = 739872.

The previous prime is 2590723. The next prime is 2590729. The reversal of 2590728 is 8270952.

It is not an unprimeable number, because it can be changed into a prime (2590723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75 + ... + 2277.

It is an arithmetic number, because the mean of its divisors is an integer number (157035).

2^2590728 is an apocalyptic number.

2590728 is a gapful number since it is divisible by the number (28) 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 2590728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3768840).

2590728 is an abundant number, since it is smaller than the sum of its proper divisors (4946952).

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

2590728 is a wasteful number, since it uses less digits than its factorization.

2590728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 2590728 is about 1609.5738566465. The cubic root of 2590728 is about 137.3432351131.

The spelling of 2590728 in words is "two million, five hundred ninety thousand, seven hundred twenty-eight".