2244803240064 has 512 divisors, whose sum is σ = 7706758348800. Its totient is φ = 561841459200.

The previous prime is 2244803240047. The next prime is 2244803240101. The reversal of 2244803240064 is 4600423084422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219064189 + ... + 219074435.

It is an arithmetic number, because the mean of its divisors is an integer number (15052262400).

Almost surely, 2^{2244803240064} is an apocalyptic number.

2244803240064 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 2244803240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853379174400).

2244803240064 is an abundant number, since it is smaller than the sum of its proper divisors (5461955108736).

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

2244803240064 is a wasteful number, since it uses less digits than its factorization.

2244803240064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10552 (or 10540 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 39.

It can be divided in two parts, 2244 and 803240064, that added together give a palindrome (803242308).

The spelling of 2244803240064 in words is "two trillion, two hundred forty-four billion, eight hundred three million, two hundred forty thousand, sixty-four".