2221655437344 has 192 divisors, whose sum is σ = 6921060491520. Its totient is φ = 610792980480.

The previous prime is 2221655437343. The next prime is 2221655437349. The reversal of 2221655437344 is 4437345561222.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2221655437293 and 2221655437302.

It is not an unprimeable number, because it can be changed into a prime (2221655437343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1459002 + ... + 2563590.

It is an arithmetic number, because the mean of its divisors is an integer number (36047190060).

Almost surely, 2^{2221655437344} is an apocalyptic number.

2221655437344 is a gapful number since it is divisible by the number (24) 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 2221655437344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460530245760).

2221655437344 is an abundant number, since it is smaller than the sum of its proper divisors (4699405054176).

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

2221655437344 is a wasteful number, since it uses less digits than its factorization.

2221655437344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104723 (or 1104715 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 48.

The spelling of 2221655437344 in words is "two trillion, two hundred twenty-one billion, six hundred fifty-five million, four hundred thirty-seven thousand, three hundred forty-four".