2889669120 has 320 divisors, whose sum is σ = 10080854784. Its totient is φ = 701890560.

The previous prime is 2889669119. The next prime is 2889669149. The reversal of 2889669120 is 219669882.

It is a tau number, because it is divible by the number of its divisors (320).

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, 10283380 + ... + 10283660.

Almost surely, 2^2889669120 is an apocalyptic number.

2889669120 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 2889669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040427392).

2889669120 is an abundant number, since it is smaller than the sum of its proper divisors (7191185664).

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

2889669120 is a wasteful number, since it uses less digits than its factorization.

2889669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 2889669120 is about 53755.6426805596. The cubic root of 2889669120 is about 1424.3477667643.

The spelling of 2889669120 in words is "two billion, eight hundred eighty-nine million, six hundred sixty-nine thousand, one hundred twenty".