2233972224 has 400 divisors, whose sum is σ = 7486395840. Its totient is φ = 657469440.

The previous prime is 2233972219. The next prime is 2233972241. The reversal of 2233972224 is 4222793322.

2233972224 is a `hidden beast` number, since 223 + 397 + 22 + 24 = 666.

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 39 ways as a sum of consecutive naturals, for example, 26915287 + ... + 26915369.

Almost surely, 2^2233972224 is an apocalyptic number.

2233972224 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 2233972224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3743197920).

2233972224 is an abundant number, since it is smaller than the sum of its proper divisors (5252423616).

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

2233972224 is an equidigital number, since it uses as much as digits as its factorization.

2233972224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 158 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 2233972224 is about 47264.9153601273. The cubic root of 2233972224 is about 1307.2518236185.

The spelling of 2233972224 in words is "two billion, two hundred thirty-three million, nine hundred seventy-two thousand, two hundred twenty-four".