2889017664 has 112 divisors (see below), whose sum is σ = 8305507392. Its totient is φ = 880975872.

The previous prime is 2889017653. The next prime is 2889017687. The reversal of 2889017664 is 4667109882.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 276927 + ... + 287169.

It is an arithmetic number, because the mean of its divisors is an integer number (74156316).

Almost surely, 2^2889017664 is an apocalyptic number.

2889017664 is a gapful number since it is divisible by the number (24) 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 2889017664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152753696).

2889017664 is an abundant number, since it is smaller than the sum of its proper divisors (5416489728).

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

2889017664 is a wasteful number, since it uses less digits than its factorization.

2889017664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10384 (or 10374 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 2889017664 is about 53749.5829193120. The cubic root of 2889017664 is about 1424.2407222553.

The spelling of 2889017664 in words is "two billion, eight hundred eighty-nine million, seventeen thousand, six hundred sixty-four".