2712252 has 48 divisors (see below), whose sum is σ = 6838272. Its totient is φ = 834240.

The previous prime is 2712251. The next prime is 2712253. The reversal of 2712252 is 2522172.

It is a happy number.

2712252 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2712251) and next prime (2712253).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2712251) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8398 + ... + 8714.

It is an arithmetic number, because the mean of its divisors is an integer number (142464).

2^2712252 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 2712252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419136).

2712252 is an abundant number, since it is smaller than the sum of its proper divisors (4126020).

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

2712252 is a wasteful number, since it uses less digits than its factorization.

2712252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 376 counting only the distinct ones).

The product of its digits is 560, while the sum is 21.

The square root of 2712252 is about 1646.8916175632. The cubic root of 2712252 is about 139.4579722060.

The spelling of 2712252 in words is "two million, seven hundred twelve thousand, two hundred fifty-two".