2889362560 has 128 divisors (see below), whose sum is σ = 8107971840. Its totient is φ = 963809280.

The previous prime is 2889362527. The next prime is 2889362561. The reversal of 2889362560 is 652639882.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2889362561) 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 15 ways as a sum of consecutive naturals, for example, 157045 + ... + 174475.

It is an arithmetic number, because the mean of its divisors is an integer number (63343530).

Almost surely, 2^2889362560 is an apocalyptic number.

2889362560 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 2889362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053985920).

2889362560 is an abundant number, since it is smaller than the sum of its proper divisors (5218609280).

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

2889362560 is a wasteful number, since it uses less digits than its factorization.

2889362560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17494 (or 17482 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The square root of 2889362560 is about 53752.7911833423. The cubic root of 2889362560 is about 1424.2973961192.

The spelling of 2889362560 in words is "two billion, eight hundred eighty-nine million, three hundred sixty-two thousand, five hundred sixty".