2712006 has 24 divisors (see below), whose sum is σ = 6410664. Its totient is φ = 821760.

The previous prime is 2712001. The next prime is 2712007. The reversal of 2712006 is 6002172.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2712006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2712001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6651 + ... + 7046.

It is an arithmetic number, because the mean of its divisors is an integer number (267111).

2^2712006 is an apocalyptic number.

2712006 is an abundant number, since it is smaller than the sum of its proper divisors (3698658).

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

2712006 is a wasteful number, since it uses less digits than its factorization.

2712006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13716 (or 13713 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2712006 is about 1646.8169297162. The cubic root of 2712006 is about 139.4537558207.

Adding to 2712006 its reverse (6002172), we get a palindrome (8714178).

The spelling of 2712006 in words is "two million, seven hundred twelve thousand, six".