2005540031 has 12 divisors (see below), whose sum is σ = 2334111696. Its totient is φ = 1715968320.

The previous prime is 2005540021. The next prime is 2005540049. The reversal of 2005540031 is 1300455002.

It is not a de Polignac number, because 2005540031 - 2¹⁰ = 2005539007 is a prime.

It is a super-2 number, since 2×2005540031² = 8044381631886961922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2005539985 and 2005540012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005540021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 485435 + ... + 489548.

It is an arithmetic number, because the mean of its divisors is an integer number (194509308).

Almost surely, 2^2005540031 is an apocalyptic number.

2005540031 is a deficient number, since it is larger than the sum of its proper divisors (328571665).

2005540031 is a wasteful number, since it uses less digits than its factorization.

2005540031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975022 (or 975011 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2005540031 is about 44783.2561455730. The cubic root of 2005540031 is about 1261.0833110065.

Adding to 2005540031 its reverse (1300455002), we get a palindrome (3305995033).

The spelling of 2005540031 in words is "two billion, five million, five hundred forty thousand, thirty-one".