2050616517120 has 240 divisors, whose sum is σ = 7132892583960. Its totient is φ = 544441761792.

The previous prime is 2050616517113. The next prime is 2050616517127. The reversal of 2050616517120 is 217156160502.

2050616517120 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 6 + 16 + 517 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (2050616517113) and next prime (2050616517127).

It can be written as a sum of positive squares in 4 ways, for example, as 1905327472896 + 145289044224 = 1380336^2 + 381168^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (2050616517127) 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, 5081832 + ... + 5470488.

Almost surely, 2^{2050616517120} is an apocalyptic number.

2050616517120 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 2050616517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566446291980).

2050616517120 is an abundant number, since it is smaller than the sum of its proper divisors (5082276066840).

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

2050616517120 is a wasteful number, since it uses less digits than its factorization.

2050616517120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388915 (or 388896 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 2050616517120 in words is "two trillion, fifty billion, six hundred sixteen million, five hundred seventeen thousand, one hundred twenty".