2252712 has 128 divisors (see below), whose sum is σ = 7464960. Its totient is φ = 549120.

The previous prime is 2252711. The next prime is 2252729. The reversal of 2252712 is 2172522.

It is a happy number.

2252712 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 a super-2 number, since 2×2252712² = 10149422709888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2252711) 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 31 ways as a sum of consecutive naturals, for example, 42478 + ... + 42530.

It is an arithmetic number, because the mean of its divisors is an integer number (58320).

2^2252712 is an apocalyptic number.

2252712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732480).

2252712 is an abundant number, since it is smaller than the sum of its proper divisors (5212248).

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

2252712 is a wasteful number, since it uses less digits than its factorization.

2252712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 99 counting only the distinct ones).

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

The square root of 2252712 is about 1500.9037277587. The cubic root of 2252712 is about 131.0896963546.

The spelling of 2252712 in words is "two million, two hundred fifty-two thousand, seven hundred twelve".