2249820 has 72 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 577920.

The previous prime is 2249813. The next prime is 2249827. The reversal of 2249820 is 289422.

It is an interprime number because it is at equal distance from previous prime (2249813) and next prime (2249827).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5005 + ... + 5435.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

2^2249820 is an apocalyptic number.

2249820 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 2249820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2249820 is an abundant number, since it is smaller than the sum of its proper divisors (4826340).

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

2249820 is a wasteful number, since it uses less digits than its factorization.

2249820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2249820 is about 1499.9399988000. The cubic root of 2249820 is about 131.0335752954.

The spelling of 2249820 in words is "two million, two hundred forty-nine thousand, eight hundred twenty".