2050196400 has 480 divisors, whose sum is σ = 8531834880. Its totient is φ = 457850880.

The previous prime is 2050196339. The next prime is 2050196417. The reversal of 2050196400 is 46910502.

2050196400 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 19 + 640 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 3552912 + ... + 3553488.

It is an arithmetic number, because the mean of its divisors is an integer number (17774656).

Almost surely, 2^2050196400 is an apocalyptic number.

2050196400 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 2050196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265917440).

2050196400 is an abundant number, since it is smaller than the sum of its proper divisors (6481638480).

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

2050196400 is a wasteful number, since it uses less digits than its factorization.

2050196400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2050196400 is about 45279.0945139145. The cubic root of 2050196400 is about 1270.3746595446.

The spelling of 2050196400 in words is "two billion, fifty million, one hundred ninety-six thousand, four hundred".