2201144400 has 360 divisors, whose sum is σ = 9402731520. Its totient is φ = 464348160.

The previous prime is 2201144383. The next prime is 2201144423. The reversal of 2201144400 is 44411022.

2201144400 is a `hidden beast` number, since 220 + 1 + 1 + 4 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 324241 + ... + 330959.

Almost surely, 2^2201144400 is an apocalyptic number.

2201144400 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 2201144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701365760).

2201144400 is an abundant number, since it is smaller than the sum of its proper divisors (7201587120).

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

2201144400 is a wasteful number, since it uses less digits than its factorization.

2201144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6763 (or 6749 counting only the distinct ones).

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

The square root of 2201144400 is about 46916.3553571673. The cubic root of 2201144400 is about 1300.8169224343.

Adding to 2201144400 its reverse (44411022), we get a palindrome (2245555422).

The spelling of 2201144400 in words is "two billion, two hundred one million, one hundred forty-four thousand, four hundred".