2889336960 has 256 divisors, whose sum is σ = 10287475200. Its totient is φ = 766402560.

The previous prime is 2889336959. The next prime is 2889336971. The reversal of 2889336960 is 696339882.

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

It is a junction number, because it is equal to n+sod(n) for n = 2889336897 and 2889336906.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4682572 + ... + 4683188.

It is an arithmetic number, because the mean of its divisors is an integer number (40185450).

Almost surely, 2^2889336960 is an apocalyptic number.

2889336960 is a gapful number since it is divisible by the number (20) 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 2889336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143737600).

2889336960 is an abundant number, since it is smaller than the sum of its proper divisors (7398138240).

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

2889336960 is a wasteful number, since it uses less digits than its factorization.

2889336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 2889336960 is about 53752.5530556456. The cubic root of 2889336960 is about 1424.2931896411.

The spelling of 2889336960 in words is "two billion, eight hundred eighty-nine million, three hundred thirty-six thousand, nine hundred sixty".