2201408000 has 320 divisors, whose sum is σ = 6204781440. Its totient is φ = 772096000.

The previous prime is 2201407997. The next prime is 2201408003. The reversal of 2201408000 is 8041022.

It is an interprime number because it is at equal distance from previous prime (2201407997) and next prime (2201408003).

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 2201408000.

It is not an unprimeable number, because it can be changed into a prime (2201408003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37311971 + ... + 37312029.

It is an arithmetic number, because the mean of its divisors is an integer number (19389942).

Almost surely, 2^2201408000 is an apocalyptic number.

2201408000 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 2201408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102390720).

2201408000 is an abundant number, since it is smaller than the sum of its proper divisors (4003373440).

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

2201408000 is an equidigital number, since it uses as much as digits as its factorization.

2201408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2201408000 is about 46919.1645279410. The cubic root of 2201408000 is about 1300.8688471897.

Adding to 2201408000 its reverse (8041022), we get a palindrome (2209449022).

It can be divided in two parts, 220 and 1408000, that multiplied together give a square (309760000 = 17600²).

The spelling of 2201408000 in words is "two billion, two hundred one million, four hundred eight thousand".