2050257424384 has 117 divisors (see below), whose sum is σ = 4442241649539. Its totient is φ = 945722818560.

The previous prime is 2050257424379. The next prime is 2050257424393. The reversal of 2050257424384 is 4834247520502.

The square root of 2050257424384 is 1431872.

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

It can be written as a sum of positive squares in 4 ways, for example, as 41030553600 + 2009226870784 = 202560^2 + 1417472^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1191316644 + ... + 1191318364.

Almost surely, 2^{2050257424384} is an apocalyptic number.

2050257424384 is the 1431872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2050257424384

2050257424384 is an abundant number, since it is smaller than the sum of its proper divisors (2391984225155).

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

2050257424384 is an frugal number, since it uses more digits than its factorization.

2050257424384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 46.

The spelling of 2050257424384 in words is "two trillion, fifty billion, two hundred fifty-seven million, four hundred twenty-four thousand, three hundred eighty-four".