2050254560641 has 27 divisors (see below), whose sum is σ = 2426798674209. Its totient is φ = 1727076980328.

The previous prime is 2050254560593. The next prime is 2050254560671. The reversal of 2050254560641 is 1460654520502.

It is a happy number.

The square root of 2050254560641 is 1431871.

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

It is a de Polignac number, because none of the positive numbers 2^k-2050254560641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2050254560594 and 2050254560603.

It is not an unprimeable number, because it can be changed into a prime (2050254560671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 591360990 + ... + 591364456.

Almost surely, 2^{2050254560641} is an apocalyptic number.

2050254560641 is the 1431871-st square number.

2050254560641 is the 715936-th centered octagonal number.

It is an amenable number.

2050254560641 is a deficient number, since it is larger than the sum of its proper divisors (376544113568).

2050254560641 is an frugal number, since it uses more digits than its factorization.

2050254560641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7066 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 2050254560641 in words is "two trillion, fifty billion, two hundred fifty-four million, five hundred sixty thousand, six hundred forty-one".