2107218960 has 480 divisors, whose sum is σ = 8913715200. Its totient is φ = 433382400.

The previous prime is 2107218923. The next prime is 2107218961. The reversal of 2107218960 is 698127012.

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

It is not an unprimeable number, because it can be changed into a prime (2107218961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10588941 + ... + 10589139.

It is an arithmetic number, because the mean of its divisors is an integer number (18570240).

Almost surely, 2^2107218960 is an apocalyptic number.

2107218960 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 2107218960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4456857600).

2107218960 is an abundant number, since it is smaller than the sum of its proper divisors (6806496240).

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

2107218960 is a wasteful number, since it uses less digits than its factorization.

2107218960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 2107218960 is about 45904.4546857928. The cubic root of 2107218960 is about 1282.0448597567.

The spelling of 2107218960 in words is "two billion, one hundred seven million, two hundred eighteen thousand, nine hundred sixty".