2201102400 has 336 divisors, whose sum is σ = 8342660480. Its totient is φ = 497664000.

The previous prime is 2201102399. The next prime is 2201102413. The reversal of 2201102400 is 42011022.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3662100 + ... + 3662700.

Almost surely, 2^2201102400 is an apocalyptic number.

2201102400 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 2201102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171330240).

2201102400 is an abundant number, since it is smaller than the sum of its proper divisors (6141558080).

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

2201102400 is a wasteful number, since it uses less digits than its factorization.

2201102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2201102400 is about 46915.9077499306. The cubic root of 2201102400 is about 1300.8086487596.

Adding to 2201102400 its reverse (42011022), we get a palindrome (2243113422).

The spelling of 2201102400 in words is "two billion, two hundred one million, one hundred two thousand, four hundred".