2244666493440 has 960 divisors, whose sum is σ = 9383467991040. Its totient is φ = 484432773120.

The previous prime is 2244666493429. The next prime is 2244666493471. The reversal of 2244666493440 is 443946664422.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1063317985 + ... + 1063320095.

It is an arithmetic number, because the mean of its divisors is an integer number (9774445824).

Almost surely, 2^{2244666493440} is an apocalyptic number.

2244666493440 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 2244666493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691733995520).

2244666493440 is an abundant number, since it is smaller than the sum of its proper divisors (7138801497600).

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

2244666493440 is a wasteful number, since it uses less digits than its factorization.

2244666493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 54.

The spelling of 2244666493440 in words is "two trillion, two hundred forty-four billion, six hundred sixty-six million, four hundred ninety-three thousand, four hundred forty".