2224044739728 has 480 divisors, whose sum is σ = 7296759834624. Its totient is φ = 619343843328.

The previous prime is 2224044739723. The next prime is 2224044739733. The reversal of 2224044739728 is 8279374404222.

2224044739728 is a `hidden beast` number, since 2 + 2 + 240 + 4 + 4 + 7 + 397 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2224044739723) and next prime (2224044739733).

It is a super-3 number, since 3×2224044739728³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2224044739723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1912333675 + ... + 1912334837.

Almost surely, 2^{2224044739728} is an apocalyptic number.

2224044739728 is a gapful number since it is divisible by the number (28) 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 2224044739728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648379917312).

2224044739728 is an abundant number, since it is smaller than the sum of its proper divisors (5072715094896).

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

2224044739728 is a wasteful number, since it uses less digits than its factorization.

2224044739728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 2224044739728 in words is "two trillion, two hundred twenty-four billion, forty-four million, seven hundred thirty-nine thousand, seven hundred twenty-eight".