2050648800 has 144 divisors (see below), whose sum is σ = 7067641392. Its totient is φ = 514662400.

The previous prime is 2050648763. The next prime is 2050648813. The reversal of 2050648800 is 88460502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15670 + ... + 65930.

It is an arithmetic number, because the mean of its divisors is an integer number (49080843).

Almost surely, 2^2050648800 is an apocalyptic number.

2050648800 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 2050648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533820696).

2050648800 is an abundant number, since it is smaller than the sum of its proper divisors (5016992592).

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

2050648800 is a wasteful number, since it uses less digits than its factorization.

2050648800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50301 (or 50288 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2050648800 is about 45284.0899212958. The cubic root of 2050648800 is about 1270.4680937197.

The spelling of 2050648800 in words is "two billion, fifty million, six hundred forty-eight thousand, eight hundred".