2000448324 has 108 divisors (see below), whose sum is σ = 5993537004. Its totient is φ = 560746368.

The previous prime is 2000448323. The next prime is 2000448347. The reversal of 2000448324 is 4238440002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1778140224 + 222308100 = 42168^2 + 14910^2 .

It is not an unprimeable number, because it can be changed into a prime (2000448323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82794 + ... + 104190.

It is an arithmetic number, because the mean of its divisors is an integer number (55495713).

Almost surely, 2^2000448324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000448324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996768502).

2000448324 is an abundant number, since it is smaller than the sum of its proper divisors (3993088680).

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

2000448324 is a wasteful number, since it uses less digits than its factorization.

2000448324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21474 (or 21462 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2000448324 is about 44726.3716838288. The cubic root of 2000448324 is about 1260.0151850022.

Adding to 2000448324 its reverse (4238440002), we get a palindrome (6238888326).

The spelling of 2000448324 in words is "two billion, four hundred forty-eight thousand, three hundred twenty-four".