2422800 has 90 divisors (see below), whose sum is σ = 8420282. Its totient is φ = 645120.

The previous prime is 2422793. The next prime is 2422807. The reversal of 2422800 is 82242.

It is an interprime number because it is at equal distance from previous prime (2422793) and next prime (2422807).

It can be written as a sum of positive squares in 3 ways, for example, as 63504 + 2359296 = 252^2 + 1536^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is not an unprimeable number, because it can be changed into a prime (2422807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3264 + ... + 3936.

2^2422800 is an apocalyptic number.

2422800 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 2422800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210141).

2422800 is an abundant number, since it is smaller than the sum of its proper divisors (5997482).

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

2422800 is a wasteful number, since it uses less digits than its factorization.

2422800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 683 counting only the distinct ones).

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

The square root of 2422800 is about 1556.5346125287. The cubic root of 2422800 is about 134.3092286745.

The spelling of 2422800 in words is "two million, four hundred twenty-two thousand, eight hundred".