2291284224 has 108 divisors (see below), whose sum is σ = 6705391056. Its totient is φ = 752311296.

The previous prime is 2291284213. The next prime is 2291284241. The reversal of 2291284224 is 4224821922.

2291284224 is a `hidden beast` number, since 229 + 1 + 2 + 8 + 422 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 146947 + ... + 161789.

Almost surely, 2^2291284224 is an apocalyptic number.

2291284224 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 2291284224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352695528).

2291284224 is an abundant number, since it is smaller than the sum of its proper divisors (4414106832).

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

2291284224 is a wasteful number, since it uses less digits than its factorization.

2291284224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14932 (or 14915 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2291284224 is about 47867.3607377720. The cubic root of 2291284224 is about 1318.3366376216.

The spelling of 2291284224 in words is "two billion, two hundred ninety-one million, two hundred eighty-four thousand, two hundred twenty-four".