2250600 has 144 divisors (see below), whose sum is σ = 7916160. Its totient is φ = 528000.

The previous prime is 2250581. The next prime is 2250601. The reversal of 2250600 is 60522.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2250600.

It is not an unprimeable number, because it can be changed into a prime (2250601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72585 + ... + 72615.

2^2250600 is an apocalyptic number.

2250600 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 2250600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958080).

2250600 is an abundant number, since it is smaller than the sum of its proper divisors (5665560).

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

2250600 is a wasteful number, since it uses less digits than its factorization.

2250600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2250600 is about 1500.1999866684. The cubic root of 2250600 is about 131.0487164148.

It can be divided in two parts, 2250 and 600, that added together give a triangular number (2850 = T₇₅).

The spelling of 2250600 in words is "two million, two hundred fifty thousand, six hundred".