2993325319872 has 448 divisors, whose sum is σ = 9468077990400. Its totient is φ = 924445716480.

The previous prime is 2993325319867. The next prime is 2993325319903. The reversal of 2993325319872 is 2789135233992.

2993325319872 is a `hidden beast` number, since 2 + 9 + 9 + 3 + 3 + 2 + 531 + 98 + 7 + 2 = 666.

It is a super-2 number, since 2×2993325319872² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 575969178 + ... + 575974374.

Almost surely, 2^{2993325319872} 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 2993325319872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4734038995200).

2993325319872 is an abundant number, since it is smaller than the sum of its proper divisors (6474752670528).

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

2993325319872 is a wasteful number, since it uses less digits than its factorization.

2993325319872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5621 (or 5605 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 2993325319872 in words is "two trillion, nine hundred ninety-three billion, three hundred twenty-five million, three hundred nineteen thousand, eight hundred seventy-two".