2889084864 has 112 divisors (see below), whose sum is σ = 7944124320. Its totient is φ = 925532160.

The previous prime is 2889084857. The next prime is 2889084883. The reversal of 2889084864 is 4684809882.

It is a happy number.

It is a super-2 number, since 2×2889084864² = 16693622702787796992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1340812 + ... + 1342964.

Almost surely, 2^2889084864 is an apocalyptic number.

2889084864 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 2889084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972062160).

2889084864 is an abundant number, since it is smaller than the sum of its proper divisors (5055039456).

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

2889084864 is a wasteful number, since it uses less digits than its factorization.

2889084864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 57.

The square root of 2889084864 is about 53750.2080368067. The cubic root of 2889084864 is about 1424.2517650208.

The spelling of 2889084864 in words is "two billion, eight hundred eighty-nine million, eighty-four thousand, eight hundred sixty-four".