2989872256 has 64 divisors (see below), whose sum is σ = 6815232000. Its totient is φ = 1279881216.

The previous prime is 2989872191. The next prime is 2989872257. The reversal of 2989872256 is 6522789892.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2989872256² = 17878672214397059072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2989872256.

It is not an unprimeable number, because it can be changed into a prime (2989872257) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1144680 + ... + 1147288.

It is an arithmetic number, because the mean of its divisors is an integer number (106488000).

Almost surely, 2^2989872256 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 2989872256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407616000).

2989872256 is an abundant number, since it is smaller than the sum of its proper divisors (3825359744).

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

2989872256 is a wasteful number, since it uses less digits than its factorization.

2989872256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3897 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 58.

The square root of 2989872256 is about 54679.7243592175. The cubic root of 2989872256 is about 1440.6247700453.

The spelling of 2989872256 in words is "two billion, nine hundred eighty-nine million, eight hundred seventy-two thousand, two hundred fifty-six".