2269048320 has 480 divisors, whose sum is σ = 9805086720. Its totient is φ = 471121920.

The previous prime is 2269048319. The next prime is 2269048351. The reversal of 2269048320 is 238409622.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1773441 + ... + 1774719.

It is an arithmetic number, because the mean of its divisors is an integer number (20427264).

Almost surely, 2^2269048320 is an apocalyptic number.

2269048320 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 2269048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4902543360).

2269048320 is an abundant number, since it is smaller than the sum of its proper divisors (7536038400).

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

2269048320 is a wasteful number, since it uses less digits than its factorization.

2269048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2269048320 is about 47634.5286530685. The cubic root of 2269048320 is about 1314.0581418919.

The spelling of 2269048320 in words is "two billion, two hundred sixty-nine million, forty-eight thousand, three hundred twenty".