2050000000000 has 264 divisors, whose sum is σ = 5247436501944. Its totient is φ = 800000000000.

The previous prime is 2049999999977. The next prime is 2050000000007. The reversal of 2050000000000 is 502.

It can be written as a sum of positive squares in 12 ways, for example, as 1564380565504 + 485619434496 = 1250752^2 + 696864^2 .

It is a sliding number, since 2050000000000 = 50000000000 + 2000000000000 and 1/50000000000 + 1/2000000000000 = 0.00000000002050000000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050000000007) 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 23 ways as a sum of consecutive naturals, for example, 49999999980 + ... + 50000000020.

Almost surely, 2^{2050000000000} is an apocalyptic number.

2050000000000 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 2050000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623718250972).

2050000000000 is an abundant number, since it is smaller than the sum of its proper divisors (3197436501944).

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

2050000000000 is an frugal number, since it uses more digits than its factorization.

2050000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 48 counting only the distinct ones).

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

Adding to 2050000000000 its reverse (502), we get a palindrome (2050000000502).

It can be divided in two parts, 20 and 50000000000, that multiplied together give a 12-th power (1000000000000 = 10¹²).

The spelling of 2050000000000 in words is "two trillion, fifty billion", and thus it is an aban number, an eban number, and an uban number.