2005134540402 has 32 divisors (see below), whose sum is σ = 4583509587072. Its totient is φ = 572852467584.

The previous prime is 2005134540401. The next prime is 2005134540403. The reversal of 2005134540402 is 2040454315002.

It is an interprime number because it is at equal distance from previous prime (2005134540401) and next prime (2005134540403).

It is a super-2 number, since 2×2005134540402² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2005134540402.

It is not an unprimeable number, because it can be changed into a prime (2005134540401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1229653 + ... + 2349960.

It is an arithmetic number, because the mean of its divisors is an integer number (143234674596).

Almost surely, 2^{2005134540402} is an apocalyptic number.

2005134540402 is an abundant number, since it is smaller than the sum of its proper divisors (2578375046670).

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

2005134540402 is a wasteful number, since it uses less digits than its factorization.

2005134540402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592962.

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 2005134540402 its reverse (2040454315002), we get a palindrome (4045588855404).

The spelling of 2005134540402 in words is "two trillion, five billion, one hundred thirty-four million, five hundred forty thousand, four hundred two".