2241860364288 has 336 divisors, whose sum is σ = 7074683834400. Its totient is φ = 707946946560.

The previous prime is 2241860364281. The next prime is 2241860364323. The reversal of 2241860364288 is 8824630681422.

2241860364288 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 8 + 603 + 6 + 4 + 28 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2241860364281) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28327333 + ... + 28406363.

It is an arithmetic number, because the mean of its divisors is an integer number (21055606650).

Almost surely, 2^{2241860364288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241860364288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537341917200).

2241860364288 is an abundant number, since it is smaller than the sum of its proper divisors (4832823470112).

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

2241860364288 is an frugal number, since it uses more digits than its factorization.

2241860364288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79090 (or 79055 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 2241860364288 in words is "two trillion, two hundred forty-one billion, eight hundred sixty million, three hundred sixty-four thousand, two hundred eighty-eight".