2246819337216 has 616 divisors, whose sum is σ = 7045033804800. Its totient is φ = 715023728640.

The previous prime is 2246819337173. The next prime is 2246819337227. The reversal of 2246819337216 is 6127339186422.

2246819337216 is a `hidden beast` number, since 2 + 24 + 68 + 19 + 337 + 216 = 666.

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

Its product of digits (5225472) is a multiple of the sum of its prime divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1828168090 + ... + 1828169318.

Almost surely, 2^{2246819337216} 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 2246819337216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522516902400).

2246819337216 is an abundant number, since it is smaller than the sum of its proper divisors (4798214467584).

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

2246819337216 is an equidigital number, since it uses as much as digits as its factorization.

2246819337216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1344 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 2246819337216 in words is "two trillion, two hundred forty-six billion, eight hundred nineteen million, three hundred thirty-seven thousand, two hundred sixteen".