2008997991000 has 4096 divisors, whose sum is σ = 10038712320000. Its totient is φ = 365783040000.

The previous prime is 2008997990981. The next prime is 2008997991101. The reversal of 2008997991000 is 1997998002.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 48999950980 + ... + 48999951020.

It is an arithmetic number, because the mean of its divisors is an integer number (2450857500).

Almost surely, 2^{2008997991000} is an apocalyptic number.

2008997991000 is a gapful number since it is divisible by the number (20) 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 2008997991000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019356160000).

2008997991000 is an abundant number, since it is smaller than the sum of its proper divisors (8029714329000).

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

2008997991000 is a wasteful number, since it uses less digits than its factorization.

2008997991000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

It can be divided in two parts, 20089 and 97991000, that added together give a palindrome (98011089).

The spelling of 2008997991000 in words is "two trillion, eight billion, nine hundred ninety-seven million, nine hundred ninety-one thousand".