2240124000 has 384 divisors, whose sum is σ = 7925299200. Its totient is φ = 551116800.

The previous prime is 2240123993. The next prime is 2240124067. The reversal of 2240124000 is 4210422.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 16115931 + ... + 16116069.

It is an arithmetic number, because the mean of its divisors is an integer number (20638800).

Almost surely, 2^2240124000 is an apocalyptic number.

2240124000 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 2240124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962649600).

2240124000 is an abundant number, since it is smaller than the sum of its proper divisors (5685175200).

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

2240124000 is a wasteful number, since it uses less digits than its factorization.

2240124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2240124000 is about 47329.9482357629. The cubic root of 2240124000 is about 1308.4506672146.

Adding to 2240124000 its reverse (4210422), we get a palindrome (2244334422).

The spelling of 2240124000 in words is "two billion, two hundred forty million, one hundred twenty-four thousand".