2243512000 has 224 divisors, whose sum is σ = 5905560960. Its totient is φ = 842547200.

The previous prime is 2243511997. The next prime is 2243512013. The reversal of 2243512000 is 2153422.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16375932 + ... + 16376068.

Almost surely, 2^2243512000 is an apocalyptic number.

2243512000 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 2243512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952780480).

2243512000 is an abundant number, since it is smaller than the sum of its proper divisors (3662048960).

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

2243512000 is a wasteful number, since it uses less digits than its factorization.

2243512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2243512000 is about 47365.7260052034. The cubic root of 2243512000 is about 1309.1099756389.

Adding to 2243512000 its reverse (2153422), we get a palindrome (2245665422).

The spelling of 2243512000 in words is "two billion, two hundred forty-three million, five hundred twelve thousand".