2008139883288 has 512 divisors, whose sum is σ = 6665014886400. Its totient is φ = 489042892800.

The previous prime is 2008139883287. The next prime is 2008139883301. The reversal of 2008139883288 is 8823889318002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008139883287) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254933206 + ... + 254941082.

It is an arithmetic number, because the mean of its divisors is an integer number (13017607200).

Almost surely, 2^{2008139883288} is an apocalyptic number.

2008139883288 is a gapful number since it is divisible by the number (28) 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 2008139883288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332507443200).

2008139883288 is an abundant number, since it is smaller than the sum of its proper divisors (4656875003112).

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

2008139883288 is a wasteful number, since it uses less digits than its factorization.

2008139883288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8071 (or 8067 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 60.

The spelling of 2008139883288 in words is "two trillion, eight billion, one hundred thirty-nine million, eight hundred eighty-three thousand, two hundred eighty-eight".