2050389600 has 432 divisors, whose sum is σ = 7943491584. Its totient is φ = 449971200.

The previous prime is 2050389571. The next prime is 2050389613. The reversal of 2050389600 is 69830502.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16144737 + ... + 16144863.

It is an arithmetic number, because the mean of its divisors is an integer number (18387712).

Almost surely, 2^2050389600 is an apocalyptic number.

2050389600 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 2050389600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971745792).

2050389600 is an abundant number, since it is smaller than the sum of its proper divisors (5893101984).

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

2050389600 is a wasteful number, since it uses less digits than its factorization.

2050389600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2050389600 is about 45281.2278985453. The cubic root of 2050389600 is about 1270.4145628233.

The spelling of 2050389600 in words is "two billion, fifty million, three hundred eighty-nine thousand, six hundred".