2200505344000 has 224 divisors, whose sum is σ = 5499622114272. Its totient is φ = 879001600000.

The previous prime is 2200505343989. The next prime is 2200505344013. The reversal of 2200505344000 is 4435050022.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1485823260 + ... + 1485824740.

Almost surely, 2^{2200505344000} is an apocalyptic number.

2200505344000 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 2200505344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749811057136).

2200505344000 is an abundant number, since it is smaller than the sum of its proper divisors (3299116770272).

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

2200505344000 is an equidigital number, since it uses as much as digits as its factorization.

2200505344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The spelling of 2200505344000 in words is "two trillion, two hundred billion, five hundred five million, three hundred forty-four thousand".