2005000000000 has 220 divisors, whose sum is σ = 5020092670626. Its totient is φ = 800000000000.

The previous prime is 2004999999983. The next prime is 2005000000037. The reversal of 2005000000000 is 5002.

It can be written as a sum of positive squares in 11 ways, for example, as 1054515394816 + 950484605184 = 1026896^2 + 974928^2 .

It is a sliding number, since 2005000000000 = 5000000000 + 2000000000000 and 1/5000000000 + 1/2000000000000 = 0.0000000002005000000000.

It is a self number, because there is not a number n which added to its sum of digits gives 2005000000000.

It is an unprimeable number.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 4999999800 + ... + 5000000200.

Almost surely, 2^{2005000000000} is an apocalyptic number.

2005000000000 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 2005000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510046335313).

2005000000000 is an abundant number, since it is smaller than the sum of its proper divisors (3015092670626).

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

2005000000000 is an frugal number, since it uses more digits than its factorization.

2005000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

Adding to 2005000000000 its reverse (5002), we get a palindrome (2005000005002).

It can be divided in two parts, 200 and 5000000000, that multiplied together give a 12-th power (1000000000000 = 10¹²).

The spelling of 2005000000000 in words is "two trillion, five billion", and thus it is an aban number and an uban number.