2050018629120 has 2160 divisors, whose sum is σ = 9315742035600. Its totient is φ = 414879252480.

The previous prime is 2050018629119. The next prime is 2050018629121. The reversal of 2050018629120 is 219268100502.

2050018629120 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 0 + 1 + 8 + 629 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2050018629119) and next prime (2050018629121).

It is a super-2 number, since 2×2050018629120² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050018629121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5873978706 + ... + 5873979054.

It is an arithmetic number, because the mean of its divisors is an integer number (4312843535).

Almost surely, 2^{2050018629120} is an apocalyptic number.

2050018629120 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 2050018629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4657871017800).

2050018629120 is an abundant number, since it is smaller than the sum of its proper divisors (7265723406480).

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

2050018629120 is a wasteful number, since it uses less digits than its factorization.

2050018629120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 2050018629120 in words is "two trillion, fifty billion, eighteen million, six hundred twenty-nine thousand, one hundred twenty".