2050795843600 has 405 divisors, whose sum is σ = 5872056549093. Its totient is φ = 686288977920.

The previous prime is 2050795843583. The next prime is 2050795843609. The reversal of 2050795843600 is 63485970502.

The square root of 2050795843600 is 1432060.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1393995816976 + 656800026624 = 1180676^2 + 810432^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (2050795843609) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10625885104 + ... + 10625885296.

Almost surely, 2^{2050795843600} is an apocalyptic number.

2050795843600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2050795843600 is the 1432060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2050795843600

2050795843600 is an abundant number, since it is smaller than the sum of its proper divisors (3821260705493).

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

2050795843600 is an equidigital number, since it uses as much as digits as its factorization.

2050795843600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

Multiplying 2050795843600 by its sum of digits (49), we get a square (100488996336400 = 10024420²).

2050795843600 divided by its sum of digits (49) gives a square (41852976400 = 204580²).

The spelling of 2050795843600 in words is "two trillion, fifty billion, seven hundred ninety-five million, eight hundred forty-three thousand, six hundred".