2006422462224 has 60 divisors (see below), whose sum is σ = 5808823663500. Its totient is φ = 645745158912.

The previous prime is 2006422462193. The next prime is 2006422462249. The reversal of 2006422462224 is 4222642246002.

2006422462224 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 4 + 2 + 2 + 4 + 622 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1435539459600 + 570883002624 = 1198140^2 + 755568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 240228399 + ... + 240236750.

It is an arithmetic number, because the mean of its divisors is an integer number (96813727725).

Almost surely, 2^{2006422462224} is an apocalyptic number.

2006422462224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2006422462224 is an abundant number, since it is smaller than the sum of its proper divisors (3802401201276).

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

2006422462224 is a wasteful number, since it uses less digits than its factorization.

2006422462224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480465192 (or 480465183 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 2006422462224 in words is "two trillion, six billion, four hundred twenty-two million, four hundred sixty-two thousand, two hundred twenty-four".