2541728 has 36 divisors (see below), whose sum is σ = 5824602. Its totient is φ = 1088640.

The previous prime is 2541703. The next prime is 2541733. The reversal of 2541728 is 8271452.

It can be written as a sum of positive squares in only one way, i.e., 1882384 + 659344 = 1372^2 + 812^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2541728.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 758 + ... + 2378.

2^2541728 is an apocalyptic number.

2541728 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 2541728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912301).

2541728 is an abundant number, since it is smaller than the sum of its proper divisors (3282874).

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

2541728 is a wasteful number, since it uses less digits than its factorization.

2541728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1630 counting only the distinct ones).

The product of its digits is 4480, while the sum is 29.

The square root of 2541728 is about 1594.2797746945. The cubic root of 2541728 is about 136.4718328907.

The spelling of 2541728 in words is "two million, five hundred forty-one thousand, seven hundred twenty-eight".