2244973968000 has 768 divisors, whose sum is σ = 8467857216000. Its totient is φ = 591000883200.

The previous prime is 2244973967917. The next prime is 2244973968011. The reversal of 2244973968000 is 8693794422.

2244973968000 is a `hidden beast` number, since 2 + 244 + 9 + 7 + 396 + 8 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 307148346 + ... + 307155654.

It is an arithmetic number, because the mean of its divisors is an integer number (11025855750).

Almost surely, 2^{2244973968000} is an apocalyptic number.

2244973968000 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 2244973968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233928608000).

2244973968000 is an abundant number, since it is smaller than the sum of its proper divisors (6222883248000).

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

2244973968000 is an frugal number, since it uses more digits than its factorization.

2244973968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7432 (or 7398 counting only the distinct ones).

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

The spelling of 2244973968000 in words is "two trillion, two hundred forty-four billion, nine hundred seventy-three million, nine hundred sixty-eight thousand".