2251441100 has 108 divisors (see below), whose sum is σ = 5329997400. Its totient is φ = 823173120.

The previous prime is 2251441097. The next prime is 2251441103. The reversal of 2251441100 is 11441522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2251441097) and next prime (2251441103).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2251441103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1597196 + ... + 1598604.

Almost surely, 2^2251441100 is an apocalyptic number.

2251441100 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 2251441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664998700).

2251441100 is an abundant number, since it is smaller than the sum of its proper divisors (3078556300).

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

2251441100 is a wasteful number, since it uses less digits than its factorization.

2251441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2251441100 is about 47449.3529987502. The cubic root of 2251441100 is about 1310.6503966887.

Adding to 2251441100 its reverse (11441522), we get a palindrome (2262882622).

The spelling of 2251441100 in words is "two billion, two hundred fifty-one million, four hundred forty-one thousand, one hundred".