2627712 has 48 divisors (see below), whose sum is σ = 7564830. Its totient is φ = 875520.

The previous prime is 2627711. The next prime is 2627759. The reversal of 2627712 is 2177262.

It can be written as a sum of positive squares in only one way, i.e., 2143296 + 484416 = 1464^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (2627711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12 + ... + 2292.

2^2627712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2627712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782415).

2627712 is an abundant number, since it is smaller than the sum of its proper divisors (4937118).

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

2627712 is a wasteful number, since it uses less digits than its factorization.

2627712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2286 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 2627712 is about 1621.0218999138. The cubic root of 2627712 is about 137.9936985150.

The spelling of 2627712 in words is "two million, six hundred twenty-seven thousand, seven hundred twelve".