2243724000 has 192 divisors, whose sum is σ = 8400817152. Its totient is φ = 512832000.

The previous prime is 2243723969. The next prime is 2243724071. The reversal of 2243724000 is 4273422.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 70645 + ... + 97355.

It is an arithmetic number, because the mean of its divisors is an integer number (43754256).

Almost surely, 2^2243724000 is an apocalyptic number.

2243724000 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 2243724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200408576).

2243724000 is an abundant number, since it is smaller than the sum of its proper divisors (6157093152).

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

2243724000 is a wasteful number, since it uses less digits than its factorization.

2243724000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26746 (or 26728 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 2243724000 is about 47367.9638574427. The cubic root of 2243724000 is about 1309.1512089929.

Adding to 2243724000 its reverse (4273422), we get a palindrome (2247997422).

The spelling of 2243724000 in words is "two billion, two hundred forty-three million, seven hundred twenty-four thousand".