2200214401000 has 256 divisors, whose sum is σ = 6482487697920. Its totient is φ = 678988800000.

The previous prime is 2200214400991. The next prime is 2200214401009. The reversal of 2200214401000 is 1044120022.

It is an interprime number because it is at equal distance from previous prime (2200214400991) and next prime (2200214401009).

It is not an unprimeable number, because it can be changed into a prime (2200214401009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7635544 + ... + 7918456.

It is an arithmetic number, because the mean of its divisors is an integer number (25322217570).

Almost surely, 2^{2200214401000} is an apocalyptic number.

2200214401000 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 2200214401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241243848960).

2200214401000 is an abundant number, since it is smaller than the sum of its proper divisors (4282273296920).

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

2200214401000 is a wasteful number, since it uses less digits than its factorization.

2200214401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283053 (or 283039 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2200214401000 its reverse (1044120022), we get a palindrome (2201258521022).

The spelling of 2200214401000 in words is "two trillion, two hundred billion, two hundred fourteen million, four hundred one thousand".