2002241664 has 192 divisors, whose sum is σ = 6049344600. Its totient is φ = 634798080.

The previous prime is 2002241663. The next prime is 2002241669. The reversal of 2002241664 is 4661422002.

It can be written as a sum of positive squares in 4 ways, for example, as 1600640064 + 401601600 = 40008^2 + 20040^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2002241663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2438374 + ... + 2439194.

Almost surely, 2^2002241664 is an apocalyptic number.

2002241664 is a gapful number since it is divisible by the number (24) 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 2002241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024672300).

2002241664 is an abundant number, since it is smaller than the sum of its proper divisors (4047102936).

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

2002241664 is a wasteful number, since it uses less digits than its factorization.

2002241664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2002241664 is about 44746.4150966309. The cubic root of 2002241664 is about 1260.3915940817.

Adding to 2002241664 its reverse (4661422002), we get a palindrome (6663663666).

The spelling of 2002241664 in words is "two billion, two million, two hundred forty-one thousand, six hundred sixty-four".