2251728 has 60 divisors (see below), whose sum is σ = 6641440. Its totient is φ = 710208.

The previous prime is 2251727. The next prime is 2251729. The reversal of 2251728 is 8271522.

It is an interprime number because it is at equal distance from previous prime (2251727) and next prime (2251729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2325 + ... + 3147.

2^2251728 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 2251728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320720).

2251728 is an abundant number, since it is smaller than the sum of its proper divisors (4389712).

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

2251728 is a wasteful number, since it uses less digits than its factorization.

2251728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 847 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 2251728 is about 1500.5758894504. The cubic root of 2251728 is about 131.0706066163.

It can be divided in two parts, 225 and 1728, that added together give a triangular number (1953 = T₆₂).

The spelling of 2251728 in words is "two million, two hundred fifty-one thousand, seven hundred twenty-eight".