2201140000 has 120 divisors (see below), whose sum is σ = 5457399948. Its totient is φ = 873600000.

The previous prime is 2201139989. The next prime is 2201140031. The reversal of 2201140000 is 411022.

It can be written as a sum of positive squares in 10 ways, for example, as 76667536 + 2124472464 = 8756^2 + 46092^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 3139650 + ... + 3140350.

Almost surely, 2^2201140000 is an apocalyptic number.

2201140000 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 2201140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728699974).

2201140000 is an abundant number, since it is smaller than the sum of its proper divisors (3256259948).

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

2201140000 is an equidigital number, since it uses as much as digits as its factorization.

2201140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2201140000 is about 46916.3084651808. The cubic root of 2201140000 is about 1300.8160556733.

Adding to 2201140000 its reverse (411022), we get a palindrome (2201551022).

The spelling of 2201140000 in words is "two billion, two hundred one million, one hundred forty thousand".