2050511415120 has 480 divisors, whose sum is σ = 8132192839680. Its totient is φ = 453108142080.

The previous prime is 2050511415107. The next prime is 2050511415149. The reversal of 2050511415120 is 215141150502.

It is a happy number.

2050511415120 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 5 + 1 + 141 + 512 + 0 = 666.

It is a super-2 number, since 2×2050511415120² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167014422 + ... + 167026698.

It is an arithmetic number, because the mean of its divisors is an integer number (16942068416).

Almost surely, 2^{2050511415120} is an apocalyptic number.

2050511415120 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 2050511415120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4066096419840).

2050511415120 is an abundant number, since it is smaller than the sum of its proper divisors (6081681424560).

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

2050511415120 is a wasteful number, since it uses less digits than its factorization.

2050511415120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13403 (or 13394 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 2050511415120 its reverse (215141150502), we get a palindrome (2265652565622).

The spelling of 2050511415120 in words is "two trillion, fifty billion, five hundred eleven million, four hundred fifteen thousand, one hundred twenty".