2005042540407 has 8 divisors (see below), whose sum is σ = 2673703608576. Its totient is φ = 1336538249592.

The previous prime is 2005042540387. The next prime is 2005042540531. The reversal of 2005042540407 is 7040452405002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2005042540407 - 2⁷ = 2005042540279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005042542407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39164493 + ... + 39215654.

It is an arithmetic number, because the mean of its divisors is an integer number (334212951072).

Almost surely, 2^{2005042540407} is an apocalyptic number.

2005042540407 is a deficient number, since it is larger than the sum of its proper divisors (668661068169).

2005042540407 is an equidigital number, since it uses as much as digits as its factorization.

2005042540407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78388677.

The product of its (nonzero) digits is 44800, while the sum is 33.

Adding to 2005042540407 its reverse (7040452405002), we get a palindrome (9045494945409).

The spelling of 2005042540407 in words is "two trillion, five billion, forty-two million, five hundred forty thousand, four hundred seven".