2242533000 has 256 divisors, whose sum is σ = 7298553600. Its totient is φ = 572774400.

The previous prime is 2242532983. The next prime is 2242533001. The reversal of 2242533000 is 3352422.

It is not an unprimeable number, because it can be changed into a prime (2242533001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9878887 + ... + 9879113.

It is an arithmetic number, because the mean of its divisors is an integer number (28509975).

Almost surely, 2^2242533000 is an apocalyptic number.

2242533000 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 2242533000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649276800).

2242533000 is an abundant number, since it is smaller than the sum of its proper divisors (5056020600).

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

2242533000 is a wasteful number, since it uses less digits than its factorization.

2242533000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 2242533000 is about 47355.3904006714. The cubic root of 2242533000 is about 1308.9195294202.

Adding to 2242533000 its reverse (3352422), we get a palindrome (2245885422).

The spelling of 2242533000 in words is "two billion, two hundred forty-two million, five hundred thirty-three thousand".