2000225344 has 112 divisors (see below), whose sum is σ = 4416039936. Its totient is φ = 893030400.

The previous prime is 2000225341. The next prime is 2000225363. The reversal of 2000225344 is 4435220002.

It is not an unprimeable number, because it can be changed into a prime (2000225341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6515239 + ... + 6515545.

It is an arithmetic number, because the mean of its divisors is an integer number (39428928).

Almost surely, 2^2000225344 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 2000225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208019968).

2000225344 is an abundant number, since it is smaller than the sum of its proper divisors (2415814592).

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

2000225344 is a wasteful number, since it uses less digits than its factorization.

2000225344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 2000225344 is about 44723.8789015443. The cubic root of 2000225344 is about 1259.9683673926.

Adding to 2000225344 its reverse (4435220002), we get a palindrome (6435445346).

The spelling of 2000225344 in words is "two billion, two hundred twenty-five thousand, three hundred forty-four".