2000224240 has 160 divisors (see below), whose sum is σ = 5701777920. Its totient is φ = 637258752.

The previous prime is 2000224217. The next prime is 2000224241. The reversal of 2000224240 is 424220002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000224241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562147 + ... + 565693.

It is an arithmetic number, because the mean of its divisors is an integer number (35636112).

Almost surely, 2^2000224240 is an apocalyptic number.

2000224240 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 2000224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850888960).

2000224240 is an abundant number, since it is smaller than the sum of its proper divisors (3701553680).

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

2000224240 is a wasteful number, since it uses less digits than its factorization.

2000224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2000224240 is about 44723.8665591427. The cubic root of 2000224240 is about 1259.9681355845.

Adding to 2000224240 its reverse (424220002), we get a palindrome (2424444242).

The spelling of 2000224240 in words is "two billion, two hundred twenty-four thousand, two hundred forty".