2820641643 has 16 divisors (see below), whose sum is σ = 4241100160. Its totient is φ = 1852360488.

The previous prime is 2820641623. The next prime is 2820641693. The reversal of 2820641643 is 3461460282.

2820641643 is a `hidden beast` number, since 2 + 8 + 2 + 0 + 6 + 4 + 1 + 643 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-2820641643 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2820641598 and 2820641607.

It is not an unprimeable number, because it can be changed into a prime (2820641623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 777805 + ... + 781422.

It is an arithmetic number, because the mean of its divisors is an integer number (265068760).

Almost surely, 2^2820641643 is an apocalyptic number.

2820641643 is a deficient number, since it is larger than the sum of its proper divisors (1420458517).

2820641643 is a wasteful number, since it uses less digits than its factorization.

2820641643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559303 (or 1559297 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2820641643 is about 53109.7132641478. The cubic root of 2820641643 is about 1412.9147896921.

The spelling of 2820641643 in words is "two billion, eight hundred twenty million, six hundred forty-one thousand, six hundred forty-three".