2243510100 has 216 divisors, whose sum is σ = 7608914040. Its totient is φ = 549642240.

The previous prime is 2243510099. The next prime is 2243510117. The reversal of 2243510100 is 10153422.

It can be written as a sum of positive squares in 12 ways, for example, as 1655350596 + 588159504 = 40686^2 + 24252^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3942616 + ... + 3943184.

Almost surely, 2^2243510100 is an apocalyptic number.

2243510100 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 2243510100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804457020).

2243510100 is an abundant number, since it is smaller than the sum of its proper divisors (5365403940).

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

2243510100 is a wasteful number, since it uses less digits than its factorization.

2243510100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2243510100 is about 47365.7059485024. The cubic root of 2243510100 is about 1309.1096060829.

Adding to 2243510100 its reverse (10153422), we get a palindrome (2253663522).

The spelling of 2243510100 in words is "two billion, two hundred forty-three million, five hundred ten thousand, one hundred".