2050365600 has 432 divisors, whose sum is σ = 7575265152. Its totient is φ = 521441280.

The previous prime is 2050365593. The next prime is 2050365641. The reversal of 2050365600 is 65630502.

2050365600 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 3 + 656 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24703159 + ... + 24703241.

It is an arithmetic number, because the mean of its divisors is an integer number (17535336).

Almost surely, 2^2050365600 is an apocalyptic number.

2050365600 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 2050365600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3787632576).

2050365600 is an abundant number, since it is smaller than the sum of its proper divisors (5524899552).

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

2050365600 is a wasteful number, since it uses less digits than its factorization.

2050365600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2050365600 is about 45280.9628872885. The cubic root of 2050365600 is about 1270.4096060307.

The spelling of 2050365600 in words is "two billion, fifty million, three hundred sixty-five thousand, six hundred".