2221138881600 has 336 divisors, whose sum is σ = 7684198804800. Its totient is φ = 560144056320.

The previous prime is 2221138881553. The next prime is 2221138881601. The reversal of 2221138881600 is 61888311222.

It is not an unprimeable number, because it can be changed into a prime (2221138881601) 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, 52601296 + ... + 52643504.

It is an arithmetic number, because the mean of its divisors is an integer number (22869639300).

Almost surely, 2^{2221138881600} is an apocalyptic number.

2221138881600 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 2221138881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3842099402400).

2221138881600 is an abundant number, since it is smaller than the sum of its proper divisors (5463059923200).

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

2221138881600 is a wasteful number, since it uses less digits than its factorization.

2221138881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42830 (or 42815 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 2221138881600 in words is "two trillion, two hundred twenty-one billion, one hundred thirty-eight million, eight hundred eighty-one thousand, six hundred".