2422100 has 36 divisors (see below), whose sum is σ = 5366844. Its totient is φ = 948480.

The previous prime is 2422099. The next prime is 2422111. The reversal of 2422100 is 12242.

2422100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 75076 + 2347024 = 274^2 + 1532^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5072 + ... + 5528.

It is an arithmetic number, because the mean of its divisors is an integer number (149079).

2^2422100 is an apocalyptic number.

2422100 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 2422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683422).

2422100 is an abundant number, since it is smaller than the sum of its proper divisors (2944744).

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

2422100 is a wasteful number, since it uses less digits than its factorization.

2422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2422100 is about 1556.3097378093. The cubic root of 2422100 is about 134.2962924690.

Adding to 2422100 its reverse (12242), we get a palindrome (2434342).

The spelling of 2422100 in words is "two million, four hundred twenty-two thousand, one hundred".