2050217136 has 320 divisors, whose sum is σ = 6974553600. Its totient is φ = 569548800.

The previous prime is 2050217129. The next prime is 2050217207. The reversal of 2050217136 is 6317120502.

It is a happy number.

2050217136 is a `hidden beast` number, since 20 + 502 + 1 + 7 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3311835 + ... + 3312453.

It is an arithmetic number, because the mean of its divisors is an integer number (21795480).

Almost surely, 2^2050217136 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 2050217136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487276800).

2050217136 is an abundant number, since it is smaller than the sum of its proper divisors (4924336464).

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

2050217136 is a wasteful number, since it uses less digits than its factorization.

2050217136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2050217136 is about 45279.3234931795. The cubic root of 2050217136 is about 1270.3789424514.

Adding to 2050217136 its reverse (6317120502), we get a palindrome (8367337638).

The spelling of 2050217136 in words is "two billion, fifty million, two hundred seventeen thousand, one hundred thirty-six".