2006314401 has 32 divisors (see below), whose sum is σ = 3296901888. Its totient is φ = 1056833280.

The previous prime is 2006314393. The next prime is 2006314423. The reversal of 2006314401 is 1044136002.

It is not a de Polignac number, because 2006314401 - 2³ = 2006314393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2006314001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212971 + ... + 222191.

It is an arithmetic number, because the mean of its divisors is an integer number (103028184).

Almost surely, 2^2006314401 is an apocalyptic number.

2006314401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2006314401 is a deficient number, since it is larger than the sum of its proper divisors (1290587487).

2006314401 is a wasteful number, since it uses less digits than its factorization.

2006314401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10041.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2006314401 is about 44791.9010648130. The cubic root of 2006314401 is about 1261.2455980395.

The spelling of 2006314401 in words is "two billion, six million, three hundred fourteen thousand, four hundred one".