2206144480800 has 288 divisors, whose sum is σ = 7913235895488. Its totient is φ = 530421534720.

The previous prime is 2206144480769. The next prime is 2206144480807. The reversal of 2206144480800 is 80844416022.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2206144480807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519394 + ... + 2163806.

It is an arithmetic number, because the mean of its divisors is an integer number (27476513526).

Almost surely, 2^{2206144480800} is an apocalyptic number.

2206144480800 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 2206144480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956617947744).

2206144480800 is an abundant number, since it is smaller than the sum of its proper divisors (5707091414688).

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

2206144480800 is a wasteful number, since it uses less digits than its factorization.

2206144480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644492 (or 1644479 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

Adding to 2206144480800 its reverse (80844416022), we get a palindrome (2286988896822).

The spelling of 2206144480800 in words is "two trillion, two hundred six billion, one hundred forty-four million, four hundred eighty thousand, eight hundred".