2289104160 has 192 divisors, whose sum is σ = 8463958272. Its totient is φ = 509054976.

The previous prime is 2289104137. The next prime is 2289104171. The reversal of 2289104160 is 614019822.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115114 + ... + 133526.

It is an arithmetic number, because the mean of its divisors is an integer number (44083116).

Almost surely, 2^2289104160 is an apocalyptic number.

2289104160 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 2289104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231979136).

2289104160 is an abundant number, since it is smaller than the sum of its proper divisors (6174854112).

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

2289104160 is a wasteful number, since it uses less digits than its factorization.

2289104160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18475 (or 18467 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2289104160 is about 47844.5833924803. The cubic root of 2289104160 is about 1317.9183903330.

The spelling of 2289104160 in words is "two billion, two hundred eighty-nine million, one hundred four thousand, one hundred sixty".