2005456306 has 16 divisors (see below), whose sum is σ = 3640156416. Its totient is φ = 808923456.

The previous prime is 2005456291. The next prime is 2005456307. The reversal of 2005456306 is 6036545002.

It is not an unprimeable number, because it can be changed into a prime (2005456307) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4212906 + ... + 4213381.

It is an arithmetic number, because the mean of its divisors is an integer number (227509776).

Almost surely, 2^2005456306 is an apocalyptic number.

2005456306 is a deficient number, since it is larger than the sum of its proper divisors (1634700110).

2005456306 is a wasteful number, since it uses less digits than its factorization.

2005456306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8426313.

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 2005456306 is about 44782.3213556421. The cubic root of 2005456306 is about 1261.0657620059.

The spelling of 2005456306 in words is "two billion, five million, four hundred fifty-six thousand, three hundred six".