2008897541 has 36 divisors (see below), whose sum is σ = 2480809860. Its totient is φ = 1621986240.

The previous prime is 2008897523. The next prime is 2008897543. The reversal of 2008897541 is 1457988002.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 1271992225 + 736905316 = 35665^2 + 27146^2 .

It is not a de Polignac number, because 2008897541 - 2²⁶ = 1941788677 is a prime.

It is a super-4 number, since 4×2008897541⁴ (a number of 38 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2008897492 and 2008897501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008897543) 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 35 ways as a sum of consecutive naturals, for example, 48997481 + ... + 48997521.

It is an arithmetic number, because the mean of its divisors is an integer number (68911385).

Almost surely, 2^2008897541 is an apocalyptic number.

It is an amenable number.

2008897541 is a deficient number, since it is larger than the sum of its proper divisors (471912319).

2008897541 is an frugal number, since it uses more digits than its factorization.

2008897541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 44.

The square root of 2008897541 is about 44820.7266897805. The cubic root of 2008897541 is about 1261.7866526108.

The spelling of 2008897541 in words is "two billion, eight million, eight hundred ninety-seven thousand, five hundred forty-one".