2050435728 has 240 divisors, whose sum is σ = 6649128000. Its totient is φ = 599961600.

The previous prime is 2050435721. The next prime is 2050435741. The reversal of 2050435728 is 8275340502.

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 = 2050435692 and 2050435701.

It is not an unprimeable number, because it can be changed into a prime (2050435721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4566448 + ... + 4566896.

It is an arithmetic number, because the mean of its divisors is an integer number (27704700).

Almost surely, 2^2050435728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2050435728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324564000).

2050435728 is an abundant number, since it is smaller than the sum of its proper divisors (4598692272).

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

2050435728 is a wasteful number, since it uses less digits than its factorization.

2050435728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2050435728 is about 45281.7372458257. The cubic root of 2050435728 is about 1270.4240896702.

The spelling of 2050435728 in words is "two billion, fifty million, four hundred thirty-five thousand, seven hundred twenty-eight".