2004101541 has 48 divisors (see below), whose sum is σ = 3228120000. Its totient is φ = 1228264128.

The previous prime is 2004101531. The next prime is 2004101543. The reversal of 2004101541 is 1451014002.

2004101541 is a `hidden beast` number, since 20 + 0 + 4 + 101 + 541 = 666.

It is not a de Polignac number, because 2004101541 - 2⁵ = 2004101509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004101543) 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 47 ways as a sum of consecutive naturals, for example, 1336210 + ... + 1337708.

It is an arithmetic number, because the mean of its divisors is an integer number (67252500).

Almost surely, 2^2004101541 is an apocalyptic number.

It is an amenable number.

2004101541 is a deficient number, since it is larger than the sum of its proper divisors (1224018459).

2004101541 is a wasteful number, since it uses less digits than its factorization.

2004101541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2004101541 is about 44767.1926861625. The cubic root of 2004101541 is about 1260.7817314498.

Adding to 2004101541 its reverse (1451014002), we get a palindrome (3455115543).

The spelling of 2004101541 in words is "two billion, four million, one hundred one thousand, five hundred forty-one".