2246982310224 has 240 divisors, whose sum is σ = 6429250376640. Its totient is φ = 732369285120.

The previous prime is 2246982310193. The next prime is 2246982310229. The reversal of 2246982310224 is 4220132896422.

2246982310224 is a `hidden beast` number, since 2 + 2 + 469 + 82 + 3 + 102 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2246982310224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246982310229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2372736919 + ... + 2372737865.

It is an arithmetic number, because the mean of its divisors is an integer number (26788543236).

Almost surely, 2^{2246982310224} is an apocalyptic number.

2246982310224 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 2246982310224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214625188320).

2246982310224 is an abundant number, since it is smaller than the sum of its proper divisors (4182268066416).

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

2246982310224 is a wasteful number, since it uses less digits than its factorization.

2246982310224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 2246982310224 in words is "two trillion, two hundred forty-six billion, nine hundred eighty-two million, three hundred ten thousand, two hundred twenty-four".