2246722349760 has 560 divisors, whose sum is σ = 9227933166144. Its totient is φ = 508238364672.

The previous prime is 2246722349749. The next prime is 2246722349761. The reversal of 2246722349760 is 679432276422.

2246722349760 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 72 + 23 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×2246722349760² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2246722349697 and 2246722349706.

It is not an unprimeable number, because it can be changed into a prime (2246722349761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17535852 + ... + 17663508.

Almost surely, 2^{2246722349760} is an apocalyptic number.

2246722349760 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 2246722349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613966583072).

2246722349760 is an abundant number, since it is smaller than the sum of its proper divisors (6981210816384).

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

2246722349760 is a wasteful number, since it uses less digits than its factorization.

2246722349760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127790 (or 127771 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 2246722349760 in words is "two trillion, two hundred forty-six billion, seven hundred twenty-two million, three hundred forty-nine thousand, seven hundred sixty".