2005231534410 has 128 divisors (see below), whose sum is σ = 5237030744064. Its totient is φ = 488436399360.

The previous prime is 2005231534399. The next prime is 2005231534477. The reversal of 2005231534410 is 144351325002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37989657 + ... + 38042403.

It is an arithmetic number, because the mean of its divisors is an integer number (40914302688).

Almost surely, 2^{2005231534410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005231534410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618515372032).

2005231534410 is an abundant number, since it is smaller than the sum of its proper divisors (3231799209654).

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

2005231534410 is a wasteful number, since it uses less digits than its factorization.

2005231534410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53788.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 2005231534410 its reverse (144351325002), we get a palindrome (2149582859412).

The spelling of 2005231534410 in words is "two trillion, five billion, two hundred thirty-one million, five hundred thirty-four thousand, four hundred ten".