2050715121840 has 960 divisors, whose sum is σ = 8931910321152. Its totient is φ = 424805990400.

The previous prime is 2050715121809. The next prime is 2050715121841. The reversal of 2050715121840 is 481215170502.

It is a happy number.

2050715121840 is a `hidden beast` number, since 2 + 0 + 507 + 1 + 51 + 21 + 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 = 2050715121795 and 2050715121804.

It is not an unprimeable number, because it can be changed into a prime (2050715121841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 528396700 + ... + 528400580.

Almost surely, 2^{2050715121840} is an apocalyptic number.

2050715121840 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 2050715121840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4465955160576).

2050715121840 is an abundant number, since it is smaller than the sum of its proper divisors (6881195199312).

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

2050715121840 is a wasteful number, since it uses less digits than its factorization.

2050715121840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 4262 counting only the distinct ones).

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

The spelling of 2050715121840 in words is "two trillion, fifty billion, seven hundred fifteen million, one hundred twenty-one thousand, eight hundred forty".