2201411200 has 96 divisors (see below), whose sum is σ = 5585451660. Its totient is φ = 856719360.

The previous prime is 2201411129. The next prime is 2201411203. The reversal of 2201411200 is 21141022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1376113216 + 825297984 = 37096^2 + 28728^2 .

It is a super-2 number, since 2×2201411200² = 9692422542970880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2201411203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109104 + ... + 127696.

Almost surely, 2^2201411200 is an apocalyptic number.

2201411200 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 2201411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792725830).

2201411200 is an abundant number, since it is smaller than the sum of its proper divisors (3384040460).

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

2201411200 is a wasteful number, since it uses less digits than its factorization.

2201411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18654 (or 18637 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2201411200 is about 46919.1986291326. The cubic root of 2201411200 is about 1300.8694775103.

Adding to 2201411200 its reverse (21141022), we get a palindrome (2222552222).

The spelling of 2201411200 in words is "two billion, two hundred one million, four hundred eleven thousand, two hundred".