2005530510040 has 32 divisors (see below), whose sum is σ = 4518452295360. Its totient is φ = 801144000000.

The previous prime is 2005530510029. The next prime is 2005530510079. The reversal of 2005530510040 is 400150355002.

It is a junction number, because it is equal to n+sod(n) for n = 2005530509987 and 2005530510014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33350961 + ... + 33411040.

It is an arithmetic number, because the mean of its divisors is an integer number (141201634230).

Almost surely, 2^{2005530510040} is an apocalyptic number.

2005530510040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005530510040 is an abundant number, since it is smaller than the sum of its proper divisors (2512921785320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005530510040 is a wasteful number, since it uses less digits than its factorization.

2005530510040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66762763 (or 66762759 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 2005530510040 its reverse (400150355002), we get a palindrome (2405680865042).

The spelling of 2005530510040 in words is "two trillion, five billion, five hundred thirty million, five hundred ten thousand, forty".