2200042022400 has 360 divisors, whose sum is σ = 8086151817744. Its totient is φ = 570820608000.

The previous prime is 2200042022389. The next prime is 2200042022413. The reversal of 2200042022400 is 42202400022.

2200042022400 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 0 + 420 + 2 + 240 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4004325 + ... + 4520475.

Almost surely, 2^{2200042022400} is an apocalyptic number.

2200042022400 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 2200042022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043075908872).

2200042022400 is an abundant number, since it is smaller than the sum of its proper divisors (5886109795344).

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

2200042022400 is a wasteful number, since it uses less digits than its factorization.

2200042022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516222 (or 516198 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 2200042022400 its reverse (42202400022), we get a palindrome (2242244422422).

The spelling of 2200042022400 in words is "two trillion, two hundred billion, forty-two million, twenty-two thousand, four hundred".