2291224320 has 1080 divisors, whose sum is σ = 10657685808. Its totient is φ = 464486400.

The previous prime is 2291224241. The next prime is 2291224337. The reversal of 2291224320 is 234221922.

2291224320 is a `hidden beast` number, since 229 + 1 + 2 + 2 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55883500 + ... + 55883540.

Almost surely, 2^2291224320 is an apocalyptic number.

2291224320 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 2291224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328842904).

2291224320 is an abundant number, since it is smaller than the sum of its proper divisors (8366461488).

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

2291224320 is a wasteful number, since it uses less digits than its factorization.

2291224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2291224320 is about 47866.7350045937. The cubic root of 2291224320 is about 1318.3251485295.

The spelling of 2291224320 in words is "two billion, two hundred ninety-one million, two hundred twenty-four thousand, three hundred twenty".