2050511271840 has 192 divisors, whose sum is σ = 7188779808000. Its totient is φ = 545889457152.

The previous prime is 2050511271797. The next prime is 2050511271859. The reversal of 2050511271840 is 481721150502.

It is a happy number.

2050511271840 is a `hidden beast` number, since 2 + 0 + 505 + 1 + 1 + 2 + 71 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2050511271795 and 2050511271804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2191474 + ... + 2983886.

It is an arithmetic number, because the mean of its divisors is an integer number (37441561500).

Almost surely, 2^{2050511271840} is an apocalyptic number.

2050511271840 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 2050511271840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594389904000).

2050511271840 is an abundant number, since it is smaller than the sum of its proper divisors (5138268536160).

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

2050511271840 is a wasteful number, since it uses less digits than its factorization.

2050511271840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793036 (or 793022 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 2050511271840 in words is "two trillion, fifty billion, five hundred eleven million, two hundred seventy-one thousand, eight hundred forty".