2243638320 has 320 divisors, whose sum is σ = 8735440896. Its totient is φ = 462781440.

The previous prime is 2243638307. The next prime is 2243638333. The reversal of 2243638320 is 238363422.

It is an interprime number because it is at equal distance from previous prime (2243638307) and next prime (2243638333).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3085797 + ... + 3086523.

Almost surely, 2^2243638320 is an apocalyptic number.

2243638320 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 2243638320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367720448).

2243638320 is an abundant number, since it is smaller than the sum of its proper divisors (6491802576).

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

2243638320 is a wasteful number, since it uses less digits than its factorization.

2243638320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 2243638320 is about 47367.0594400792. The cubic root of 2243638320 is about 1309.1345448067.

The spelling of 2243638320 in words is "two billion, two hundred forty-three million, six hundred thirty-eight thousand, three hundred twenty".