2249728 has 44 divisors (see below), whose sum is σ = 4871860. Its totient is φ = 1038336.

The previous prime is 2249719. The next prime is 2249743. The reversal of 2249728 is 8279422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 2166784 = 288^2 + 1472^2 .

It is a super-2 number, since 2×2249728² = 10122552147968, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2⁹ + 2¹⁷ + 4⁶ + 9² + 7⁵ + 2²¹ + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 2249693 and 2249702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 173050 + ... + 173062.

2^2249728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435930).

2249728 is an abundant number, since it is smaller than the sum of its proper divisors (2622132).

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

2249728 is an frugal number, since it uses more digits than its factorization.

2249728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 15 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 2249728 is about 1499.9093305930. The cubic root of 2249728 is about 131.0317891891.

The spelling of 2249728 in words is "two million, two hundred forty-nine thousand, seven hundred twenty-eight".