2008253407488 has 288 divisors, whose sum is σ = 5677381957632. Its totient is φ = 629417779200.

The previous prime is 2008253407487. The next prime is 2008253407493. The reversal of 2008253407488 is 8847043528002.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2008253407488.

It is not an unprimeable number, because it can be changed into a prime (2008253407483) 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 31 ways as a sum of consecutive naturals, for example, 94669203 + ... + 94690413.

Almost surely, 2^{2008253407488} 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 2008253407488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838690978816).

2008253407488 is an abundant number, since it is smaller than the sum of its proper divisors (3669128550144).

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

2008253407488 is a wasteful number, since it uses less digits than its factorization.

2008253407488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21381 (or 21367 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

The spelling of 2008253407488 in words is "two trillion, eight billion, two hundred fifty-three million, four hundred seven thousand, four hundred eighty-eight".