2889388320 has 384 divisors, whose sum is σ = 11593290240. Its totient is φ = 588349440.

The previous prime is 2889388319. The next prime is 2889388321. The reversal of 2889388320 is 238839882.

It is an interprime number because it is at equal distance from previous prime (2889388319) and next prime (2889388321).

It is not an unprimeable number, because it can be changed into a prime (2889388321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1265580 + ... + 1267860.

It is an arithmetic number, because the mean of its divisors is an integer number (30190860).

Almost surely, 2^2889388320 is an apocalyptic number.

2889388320 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 2889388320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5796645120).

2889388320 is an abundant number, since it is smaller than the sum of its proper divisors (8703901920).

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

2889388320 is a wasteful number, since it uses less digits than its factorization.

2889388320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 2889388320 is about 53753.0307982722. The cubic root of 2889388320 is about 1424.3016288627.

The spelling of 2889388320 in words is "two billion, eight hundred eighty-nine million, three hundred eighty-eight thousand, three hundred twenty".