2889289440 has 384 divisors, whose sum is σ = 10712217600. Its totient is φ = 734925312.

The previous prime is 2889289439. The next prime is 2889289453. The reversal of 2889289440 is 449829882.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8047981 + ... + 8048339.

It is an arithmetic number, because the mean of its divisors is an integer number (27896400).

Almost surely, 2^2889289440 is an apocalyptic number.

2889289440 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 2889289440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356108800).

2889289440 is an abundant number, since it is smaller than the sum of its proper divisors (7822928160).

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

2889289440 is an equidigital number, since it uses as much as digits as its factorization.

2889289440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 2889289440 is about 53752.1110283122. Note that the first 3 decimals coincide. The cubic root of 2889289440 is about 1424.2853813002.

The spelling of 2889289440 in words is "two billion, eight hundred eighty-nine million, two hundred eighty-nine thousand, four hundred forty".