2248128 has 56 divisors (see below), whose sum is σ = 6614160. Its totient is φ = 748800.

The previous prime is 2248123. The next prime is 2248133. The reversal of 2248128 is 8218422.

It is an interprime number because it is at equal distance from previous prime (2248123) and next prime (2248133).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248123) 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, 1078 + ... + 2378.

It is an arithmetic number, because the mean of its divisors is an integer number (118110).

2^2248128 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 2248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307080).

2248128 is an abundant number, since it is smaller than the sum of its proper divisors (4366032).

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

2248128 is a wasteful number, since it uses less digits than its factorization.

2248128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1306 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 2248128 is about 1499.3758701540. The cubic root of 2248128 is about 131.0007186799. Note that the first 3 decimals are identical.

The spelling of 2248128 in words is "two million, two hundred forty-eight thousand, one hundred twenty-eight".