2008922041 has 27 divisors (see below), whose sum is σ = 2473718319. Its totient is φ = 1626464448.

The previous prime is 2008922033. The next prime is 2008922063. The reversal of 2008922041 is 1402298002.

The square root of 2008922041 is 44821.

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

It can be written as a sum of positive squares in only one way, i.e., 541725625 + 1467196416 = 23275^2 + 38304^2 .

It is not a de Polignac number, because 2008922041 - 2³ = 2008922033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2008952041) 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, 5961025 + ... + 5961361.

It is an arithmetic number, because the mean of its divisors is an integer number (91619197).

Almost surely, 2^2008922041 is an apocalyptic number.

2008922041 is the 44821-st square number.

2008922041 is the 22411-st centered octagonal number.

It is an amenable number.

2008922041 is a deficient number, since it is larger than the sum of its proper divisors (464796278).

2008922041 is an frugal number, since it uses more digits than its factorization.

2008922041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The cubic root of 2008922041 is about 1261.7917820656.

Multiplying 2008922041 by its product of nonzero digits (2304), we get a square (4628556382464 = 2151408²).

The spelling of 2008922041 in words is "two billion, eight million, nine hundred twenty-two thousand, forty-one".