2705736006 has 12 divisors (see below), whose sum is σ = 5862428052. Its totient is φ = 901911996.

The previous prime is 2705735911. The next prime is 2705736067. The reversal of 2705736006 is 6006375072.

It is a happy number.

2705736006 is a `hidden beast` number, since 27 + 0 + 573 + 60 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75159316 + ... + 75159351.

It is an arithmetic number, because the mean of its divisors is an integer number (488535671).

Almost surely, 2^2705736006 is an apocalyptic number.

2705736006 is an abundant number, since it is smaller than the sum of its proper divisors (3156692046).

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

2705736006 is a wasteful number, since it uses less digits than its factorization.

2705736006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150318675 (or 150318672 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 2705736006 is about 52016.6896870610. The cubic root of 2705736006 is about 1393.4620334074.

The spelling of 2705736006 in words is "two billion, seven hundred five million, seven hundred thirty-six thousand, six".