2221811222400 has 1152 divisors, whose sum is σ = 10094949596160. Its totient is φ = 451830988800.

The previous prime is 2221811222387. The next prime is 2221811222401. The reversal of 2221811222400 is 42221181222.

2221811222400 is a `hidden beast` number, since 2 + 2 + 21 + 8 + 11 + 222 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221811222401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 104216542 + ... + 104237858.

It is an arithmetic number, because the mean of its divisors is an integer number (8762977080).

Almost surely, 2^{2221811222400} is an apocalyptic number.

2221811222400 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 2221811222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5047474798080).

2221811222400 is an abundant number, since it is smaller than the sum of its proper divisors (7873138373760).

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

2221811222400 is a wasteful number, since it uses less digits than its factorization.

2221811222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21412 (or 21392 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 2221811222400 in words is "two trillion, two hundred twenty-one billion, eight hundred eleven million, two hundred twenty-two thousand, four hundred".