2008330272 has 288 divisors, whose sum is σ = 6501222000. Its totient is φ = 583704576.

The previous prime is 2008330271. The next prime is 2008330273. The reversal of 2008330272 is 2720338002.

It is an interprime number because it is at equal distance from previous prime (2008330271) and next prime (2008330273).

It can be written as a sum of positive squares in 8 ways, for example, as 1110488976 + 897841296 = 33324^2 + 29964^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2008330271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5754354 + ... + 5754702.

Almost surely, 2^2008330272 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 2008330272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250611000).

2008330272 is an abundant number, since it is smaller than the sum of its proper divisors (4492891728).

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

2008330272 is a wasteful number, since it uses less digits than its factorization.

2008330272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2008330272 is about 44814.3980434860. The cubic root of 2008330272 is about 1261.6678743885.

Adding to 2008330272 its reverse (2720338002), we get a palindrome (4728668274).

The spelling of 2008330272 in words is "two billion, eight million, three hundred thirty thousand, two hundred seventy-two".