2221644354400 has 144 divisors (see below), whose sum is σ = 5660991673344. Its totient is φ = 849781025280.

The previous prime is 2221644354361. The next prime is 2221644354421. The reversal of 2221644354400 is 44534461222.

It is a self number, because there is not a number n which added to its sum of digits gives 2221644354400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74081809 + ... + 74111791.

It is an arithmetic number, because the mean of its divisors is an integer number (39312442176).

Almost surely, 2^{2221644354400} is an apocalyptic number.

2221644354400 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 2221644354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830495836672).

2221644354400 is an abundant number, since it is smaller than the sum of its proper divisors (3439347318944).

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

2221644354400 is a wasteful number, since it uses less digits than its factorization.

2221644354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34053 (or 34040 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

The spelling of 2221644354400 in words is "two trillion, two hundred twenty-one billion, six hundred forty-four million, three hundred fifty-four thousand, four hundred".