2983320430272 has 672 divisors, whose sum is σ = 10889512058880. Its totient is φ = 759640965120.

The previous prime is 2983320430271. The next prime is 2983320430289. The reversal of 2983320430272 is 2720340233892.

2983320430272 is a `hidden beast` number, since 2 + 9 + 8 + 332 + 0 + 4 + 302 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2983320430272² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2983320430271) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 778323268 + ... + 778327100.

It is an arithmetic number, because the mean of its divisors is an integer number (16204631040).

Almost surely, 2^{2983320430272} 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 2983320430272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444756029440).

2983320430272 is an abundant number, since it is smaller than the sum of its proper divisors (7906191628608).

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

2983320430272 is a wasteful number, since it uses less digits than its factorization.

2983320430272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 2983320430272 in words is "two trillion, nine hundred eighty-three billion, three hundred twenty million, four hundred thirty thousand, two hundred seventy-two".