2005134210 has 64 divisors (see below), whose sum is σ = 5460825600. Its totient is φ = 523322496.

The previous prime is 2005134203. The next prime is 2005134221. The reversal of 2005134210 is 124315002.

It is a super-2 number, since 2×2005134210² = 8041126400224648200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 66315 + ... + 91694.

It is an arithmetic number, because the mean of its divisors is an integer number (85325400).

Almost surely, 2^2005134210 is an apocalyptic number.

2005134210 is an abundant number, since it is smaller than the sum of its proper divisors (3455691390).

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

2005134210 is a wasteful number, since it uses less digits than its factorization.

2005134210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158072 (or 158066 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2005134210 is about 44778.7249706822. The cubic root of 2005134210 is about 1260.9982452045.

Adding to 2005134210 its reverse (124315002), we get a palindrome (2129449212).

It can be divided in two parts, 200 and 5134210, that added together give a triangular number (5134410 = T₃₂₀₄).

The spelling of 2005134210 in words is "two billion, five million, one hundred thirty-four thousand, two hundred ten".