2245824 has 84 divisors (see below), whose sum is σ = 7370064. Its totient is φ = 640512.

The previous prime is 2245813. The next prime is 2245849. The reversal of 2245824 is 4285422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

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, 3754 + ... + 4310.

2^2245824 is an apocalyptic number.

2245824 is a gapful number since it is divisible by the number (24) 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 2245824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685032).

2245824 is an abundant number, since it is smaller than the sum of its proper divisors (5124240).

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

2245824 is a wasteful number, since it uses less digits than its factorization.

2245824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 569 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 2245824 is about 1498.6073535119. The cubic root of 2245824 is about 130.9559512373.

The spelling of 2245824 in words is "two million, two hundred forty-five thousand, eight hundred twenty-four".