2221240243200 has 264 divisors, whose sum is σ = 8008709984160. Its totient is φ = 538482278400.

The previous prime is 2221240243127. The next prime is 2221240243207. The reversal of 2221240243200 is 23420421222.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×2221240243200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221240243207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 469855 + ... + 2159454.

Almost surely, 2^{2221240243200} is an apocalyptic number.

2221240243200 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 2221240243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004354992080).

2221240243200 is an abundant number, since it is smaller than the sum of its proper divisors (5787469740960).

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

2221240243200 is a wasteful number, since it uses less digits than its factorization.

2221240243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629353 (or 2629330 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2221240243200 its reverse (23420421222), we get a palindrome (2244660664422).

The spelling of 2221240243200 in words is "two trillion, two hundred twenty-one billion, two hundred forty million, two hundred forty-three thousand, two hundred".