2200141440 has 768 divisors, whose sum is σ = 9409720320. Its totient is φ = 480743424.

The previous prime is 2200141439. The next prime is 2200141441. The reversal of 2200141440 is 441410022.

2200141440 is a `hidden beast` number, since 220 + 0 + 1 + 4 + 1 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (2200141439) and next prime (2200141441).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200141441) 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 95 ways as a sum of consecutive naturals, for example, 46811497 + ... + 46811543.

It is an arithmetic number, because the mean of its divisors is an integer number (12252240).

Almost surely, 2^2200141440 is an apocalyptic number.

2200141440 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 2200141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704860160).

2200141440 is an abundant number, since it is smaller than the sum of its proper divisors (7209578880).

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

2200141440 is an equidigital number, since it uses as much as digits as its factorization.

2200141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

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

The square root of 2200141440 is about 46905.6653294674. The cubic root of 2200141440 is about 1300.6193183229.

Adding to 2200141440 its reverse (441410022), we get a palindrome (2641551462).

The spelling of 2200141440 in words is "two billion, two hundred million, one hundred forty-one thousand, four hundred forty".