2241225842688 has 1512 divisors, whose sum is σ = 8381125754352. Its totient is φ = 595954630656.

The previous prime is 2241225842623. The next prime is 2241225842719. The reversal of 2241225842688 is 8862485221422.

2241225842688 is a `hidden beast` number, since 2 + 24 + 12 + 2 + 584 + 26 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 60573671406 + ... + 60573671442.

Almost surely, 2^{2241225842688} is an apocalyptic number.

2241225842688 is a gapful number since it is divisible by the number (28) 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 2241225842688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190562877176).

2241225842688 is an abundant number, since it is smaller than the sum of its proper divisors (6139899911664).

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

2241225842688 is an frugal number, since it uses more digits than its factorization.

2241225842688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 72 counting only the distinct ones).

The product of its digits is 7864320, while the sum is 54.

The spelling of 2241225842688 in words is "two trillion, two hundred forty-one billion, two hundred twenty-five million, eight hundred forty-two thousand, six hundred eighty-eight".