2006048541 has 32 divisors (see below), whose sum is σ = 3145120768. Its totient is φ = 1113678720.

The previous prime is 2006048489. The next prime is 2006048579. The reversal of 2006048541 is 1458406002.

It is not a de Polignac number, because 2006048541 - 2⁹ = 2006048029 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2006048499 and 2006048508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006048591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92946 + ... + 112476.

It is an arithmetic number, because the mean of its divisors is an integer number (98285024).

Almost surely, 2^2006048541 is an apocalyptic number.

2006048541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2006048541 is a deficient number, since it is larger than the sum of its proper divisors (1139072227).

2006048541 is a wasteful number, since it uses less digits than its factorization.

2006048541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19681.

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2006048541 is about 44788.9332424875. The cubic root of 2006048541 is about 1261.1898856735.

The spelling of 2006048541 in words is "two billion, six million, forty-eight thousand, five hundred forty-one".