2107484160 has 192 divisors, whose sum is σ = 6962941440. Its totient is φ = 543621120.

The previous prime is 2107484149. The next prime is 2107484167. The reversal of 2107484160 is 614847012.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2107484167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 951214 + ... + 953426.

It is an arithmetic number, because the mean of its divisors is an integer number (36265320).

Almost surely, 2^2107484160 is an apocalyptic number.

2107484160 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 2107484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481470720).

2107484160 is an abundant number, since it is smaller than the sum of its proper divisors (4855457280).

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

2107484160 is a wasteful number, since it uses less digits than its factorization.

2107484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2107484160 is about 45907.3432034571. The cubic root of 2107484160 is about 1282.0986405994.

The spelling of 2107484160 in words is "two billion, one hundred seven million, four hundred eighty-four thousand, one hundred sixty".