2000000000000 has 182 divisors, whose sum is σ = 4999694820123. Its totient is φ = 800000000000.

The previous prime is 1999999999981. The next prime is 2000000000003. The reversal of 2000000000000 is 2.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 7 ways, for example, as 8695189504 + 1991304810496 = 93248^2 + 1411136^2 .

It is a sliding number, since 2000000000000 = 1000000000000 + 1000000000000 and 1/1000000000000 + 1/1000000000000 = 0.000000000002000000000000.

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1000000.

It is a Harshad number since it is a multiple of its sum of digits (2).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2000000000000.

It is not an unprimeable number, because it can be changed into a prime (2000000000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 12 ways as a sum of consecutive naturals, for example, 399999999998 + ... + 400000000002.

Almost surely, 2^{2000000000000} is an apocalyptic number.

2000000000000 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 2000000000000

2000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (2999694820123).

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

2000000000000 is an frugal number, since it uses more digits than its factorization.

2000000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 2.

The spelling of 2000000000000 in words is "two trillion", and thus it is an aban number, an eban number, and an uban number.