2889781272 has 288 divisors, whose sum is σ = 9859449600. Its totient is φ = 789155136.

The previous prime is 2889781259. The next prime is 2889781273. The reversal of 2889781272 is 2721879882.

2889781272 is a `hidden beast` number, since 288 + 97 + 8 + 1 + 272 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2889781273) 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 71 ways as a sum of consecutive naturals, for example, 2190229 + ... + 2191547.

It is an arithmetic number, because the mean of its divisors is an integer number (34234200).

Almost surely, 2^2889781272 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 2889781272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929724800).

2889781272 is an abundant number, since it is smaller than the sum of its proper divisors (6969668328).

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

2889781272 is a wasteful number, since it uses less digits than its factorization.

2889781272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1354 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The square root of 2889781272 is about 53756.6858353452. The cubic root of 2889781272 is about 1424.3661934858.

The spelling of 2889781272 in words is "two billion, eight hundred eighty-nine million, seven hundred eighty-one thousand, two hundred seventy-two".