2008049340000 has 480 divisors, whose sum is σ = 7233549523200. Its totient is φ = 483552000000.

The previous prime is 2008049339969. The next prime is 2008049340007. The reversal of 2008049340000 is 439408002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2008049340000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008049340007) 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 79 ways as a sum of consecutive naturals, for example, 99649926 + ... + 99670074.

It is an arithmetic number, because the mean of its divisors is an integer number (15069894840).

Almost surely, 2^{2008049340000} is an apocalyptic number.

2008049340000 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 2008049340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616774761600).

2008049340000 is an abundant number, since it is smaller than the sum of its proper divisors (5225500183200).

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

2008049340000 is a wasteful number, since it uses less digits than its factorization.

2008049340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20344 (or 20321 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 2008049340000 in words is "two trillion, eight billion, forty-nine million, three hundred forty thousand".