2253648 has 40 divisors (see below), whose sum is σ = 6026400. Its totient is φ = 724864.

The previous prime is 2253637. The next prime is 2253649. The reversal of 2253648 is 8463522.

It is a d-powerful number, because it can be written as 2⁷ + 2⁹ + 5⁹ + 3⁹ + 6⁷ + 4⁴ + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583 + ... + 2201.

It is an arithmetic number, because the mean of its divisors is an integer number (150660).

2^2253648 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 2253648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013200).

2253648 is an abundant number, since it is smaller than the sum of its proper divisors (3772752).

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

2253648 is a wasteful number, since it uses less digits than its factorization.

2253648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1653 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 2253648 is about 1501.2155075138. The cubic root of 2253648 is about 131.1078497279.

The spelling of 2253648 in words is "two million, two hundred fifty-three thousand, six hundred forty-eight".