2569728 has 80 divisors (see below), whose sum is σ = 7856640. Its totient is φ = 731136.

The previous prime is 2569717. The next prime is 2569739. The reversal of 2569728 is 8279652.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2569717) and next prime (2569739).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10633 + ... + 10871.

It is an arithmetic number, because the mean of its divisors is an integer number (98208).

2^2569728 is an apocalyptic number.

2569728 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 2569728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928320).

2569728 is an abundant number, since it is smaller than the sum of its proper divisors (5286912).

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

2569728 is an equidigital number, since it uses as much as digits as its factorization.

2569728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 2569728 is about 1603.0371174742. The cubic root of 2569728 is about 136.9711342740.

The spelling of 2569728 in words is "two million, five hundred sixty-nine thousand, seven hundred twenty-eight".