2252000 has 48 divisors (see below), whose sum is σ = 5542992. Its totient is φ = 899200.

The previous prime is 2251993. The next prime is 2252009. The reversal of 2252000 is 2522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3719 + ... + 4281.

It is an arithmetic number, because the mean of its divisors is an integer number (115479).

2^2252000 is an apocalyptic number.

2252000 is a gapful number since it is divisible by the number (20) 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 2252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771496).

2252000 is an abundant number, since it is smaller than the sum of its proper divisors (3290992).

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

2252000 is an equidigital number, since it uses as much as digits as its factorization.

2252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 2252000 is about 1500.6665185843. Note that the first 3 decimals coincide. The cubic root of 2252000 is about 131.0758840106.

Adding to 2252000 its reverse (2522), we get a palindrome (2254522).

The spelling of 2252000 in words is "two million, two hundred fifty-two thousand".