2253000 has 64 divisors (see below), whose sum is σ = 7038720. Its totient is φ = 600000.

The previous prime is 2252983. The next prime is 2253023. The reversal of 2253000 is 3522.

It is a Cunningham number, because it is equal to 1501²-1.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2625 + ... + 3375.

It is an arithmetic number, because the mean of its divisors is an integer number (109980).

2^2253000 is an apocalyptic number.

2253000 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 2253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519360).

2253000 is an abundant number, since it is smaller than the sum of its proper divisors (4785720).

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

2253000 is a wasteful number, since it uses less digits than its factorization.

2253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 2253000 is about 1500.9996668887. Note that the first 3 decimals coincide. The cubic root of 2253000 is about 131.0952825434.

Adding to 2253000 its reverse (3522), we get a palindrome (2256522).

The spelling of 2253000 in words is "two million, two hundred fifty-three thousand".