2242800 has 180 divisors, whose sum is σ = 8994960. Its totient is φ = 506880.

The previous prime is 2242789. The next prime is 2242811. The reversal of 2242800 is 82422.

It is an interprime number because it is at equal distance from previous prime (2242789) and next prime (2242811).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25156 + ... + 25244.

It is an arithmetic number, because the mean of its divisors is an integer number (49972).

2^2242800 is an apocalyptic number.

2242800 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 2242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497480).

2242800 is an abundant number, since it is smaller than the sum of its proper divisors (6752160).

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

2242800 is a wasteful number, since it uses less digits than its factorization.

2242800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2242800 is about 1497.5980769218. The cubic root of 2242800 is about 130.8971474794.

The spelling of 2242800 in words is "two million, two hundred forty-two thousand, eight hundred".