2104518960 has 120 divisors (see below), whose sum is σ = 7076808960. Its totient is φ = 560480256.

The previous prime is 2104518947. The next prime is 2104518973. The reversal of 2104518960 is 698154012.

It is an interprime number because it is at equal distance from previous prime (2104518947) and next prime (2104518973).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781296 + ... + 783984.

It is an arithmetic number, because the mean of its divisors is an integer number (58973408).

Almost surely, 2^2104518960 is an apocalyptic number.

2104518960 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 2104518960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538404480).

2104518960 is an abundant number, since it is smaller than the sum of its proper divisors (4972290000).

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

2104518960 is a wasteful number, since it uses less digits than its factorization.

2104518960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2104518960 is about 45875.0363487594. The cubic root of 2104518960 is about 1281.4970602372.

The spelling of 2104518960 in words is "two billion, one hundred four million, five hundred eighteen thousand, nine hundred sixty".