2224512000 has 264 divisors, whose sum is σ = 8020342512. Its totient is φ = 592896000.

The previous prime is 2224511969. The next prime is 2224512007. The reversal of 2224512000 is 2154222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224512007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151035 + ... + 1152965.

Almost surely, 2^2224512000 is an apocalyptic number.

2224512000 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 2224512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010171256).

2224512000 is an abundant number, since it is smaller than the sum of its proper divisors (5795830512).

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

2224512000 is a wasteful number, since it uses less digits than its factorization.

2224512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2224512000 is about 47164.7325869659. The cubic root of 2224512000 is about 1305.4039353793.

Adding to 2224512000 its reverse (2154222), we get a palindrome (2226666222).

The spelling of 2224512000 in words is "two billion, two hundred twenty-four million, five hundred twelve thousand".