2248800 has 72 divisors (see below), whose sum is σ = 7327656. Its totient is φ = 599040.

The previous prime is 2248787. The next prime is 2248837. The reversal of 2248800 is 88422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1932 + ... + 2868.

It is an arithmetic number, because the mean of its divisors is an integer number (101773).

2^2248800 is an apocalyptic number.

2248800 is a gapful number since it is divisible by the number (20) 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 2248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3663828).

2248800 is an abundant number, since it is smaller than the sum of its proper divisors (5078856).

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

2248800 is a wasteful number, since it uses less digits than its factorization.

2248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2248800 is about 1499.5999466524. The cubic root of 2248800 is about 131.0137700887.

The spelling of 2248800 in words is "two million, two hundred forty-eight thousand, eight hundred".