2050813440000 has 1560 divisors, whose sum is σ = 8215195820832. Its totient is φ = 489553920000.

The previous prime is 2050813439993. The next prime is 2050813440037. The reversal of 2050813440000 is 443180502.

2050813440000 is a `hidden beast` number, since 20 + 508 + 134 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 12280319917 + ... + 12280320083.

Almost surely, 2^{2050813440000} is an apocalyptic number.

2050813440000 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 2050813440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107597910416).

2050813440000 is an abundant number, since it is smaller than the sum of its proper divisors (6164382380832).

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

2050813440000 is a wasteful number, since it uses less digits than its factorization.

2050813440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 2050813440000 in words is "two trillion, fifty billion, eight hundred thirteen million, four hundred forty thousand".