2006451252 has 36 divisors (see below), whose sum is σ = 5462007460. Its totient is φ = 617369472.

The previous prime is 2006451241. The next prime is 2006451257. The reversal of 2006451252 is 2521546002.

2006451252 is a `hidden beast` number, since 2 + 0 + 0 + 645 + 12 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 845413776 + 1161037476 = 29076^2 + 34074^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006451257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2143177 + ... + 2144112.

Almost surely, 2^2006451252 is an apocalyptic number.

It is an amenable number.

2006451252 is an abundant number, since it is smaller than the sum of its proper divisors (3455556208).

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

2006451252 is a wasteful number, since it uses less digits than its factorization.

2006451252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287312 (or 4287307 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2006451252 is about 44793.4286698395. The cubic root of 2006451252 is about 1261.2742739701.

Adding to 2006451252 its reverse (2521546002), we get a palindrome (4527997254).

The spelling of 2006451252 in words is "two billion, six million, four hundred fifty-one thousand, two hundred fifty-two".