2247444320 has 144 divisors (see below), whose sum is σ = 6038912880. Its totient is φ = 788874240.

The previous prime is 2247444307. The next prime is 2247444323. The reversal of 2247444320 is 234447422.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2247444323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559439 + ... + 563441.

It is an arithmetic number, because the mean of its divisors is an integer number (41936895).

Almost surely, 2^2247444320 is an apocalyptic number.

2247444320 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 2247444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019456440).

2247444320 is an abundant number, since it is smaller than the sum of its proper divisors (3791468560).

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

2247444320 is a wasteful number, since it uses less digits than its factorization.

2247444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4069 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 32.

The square root of 2247444320 is about 47407.2180158254. The cubic root of 2247444320 is about 1309.8743775582.

The spelling of 2247444320 in words is "two billion, two hundred forty-seven million, four hundred forty-four thousand, three hundred twenty".