2108442240 has 192 divisors, whose sum is σ = 7307188200. Its totient is φ = 560209920.

The previous prime is 2108442233. The next prime is 2108442241. The reversal of 2108442240 is 422448012.

2108442240 is a `hidden beast` number, since 210 + 8 + 442 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1547320896 + 561121344 = 39336^2 + 23688^2 .

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 (2108442241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2240170 + ... + 2241110.

Almost surely, 2^2108442240 is an apocalyptic number.

2108442240 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 2108442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653594100).

2108442240 is an abundant number, since it is smaller than the sum of its proper divisors (5198745960).

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

2108442240 is a wasteful number, since it uses less digits than its factorization.

2108442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2108442240 is about 45917.7769496739. The cubic root of 2108442240 is about 1282.2928954359.

The spelling of 2108442240 in words is "two billion, one hundred eight million, four hundred forty-two thousand, two hundred forty".