2889325440 has 384 divisors, whose sum is σ = 11127261600. Its totient is φ = 686555136.

The previous prime is 2889325433. The next prime is 2889325441. The reversal of 2889325440 is 445239882.

2889325440 is a `hidden beast` number, since 28 + 89 + 3 + 2 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2889325441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1859704 + ... + 1861256.

Almost surely, 2^2889325440 is an apocalyptic number.

2889325440 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 2889325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5563630800).

2889325440 is an abundant number, since it is smaller than the sum of its proper divisors (8237936160).

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

2889325440 is a wasteful number, since it uses less digits than its factorization.

2889325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2889325440 is about 53752.4458978380. The cubic root of 2889325440 is about 1424.2912967178.

It can be divided in two parts, 2889 and 325440, that added together give a square (328329 = 573²).

The spelling of 2889325440 in words is "two billion, eight hundred eighty-nine million, three hundred twenty-five thousand, four hundred forty".