2095338960 has 480 divisors, whose sum is σ = 8462458368. Its totient is φ = 457850880.

The previous prime is 2095338923. The next prime is 2095338977. The reversal of 2095338960 is 698335902.

2095338960 is a `hidden beast` number, since 20 + 9 + 533 + 8 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4838904 + ... + 4839336.

Almost surely, 2^2095338960 is an apocalyptic number.

2095338960 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 2095338960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231229184).

2095338960 is an abundant number, since it is smaller than the sum of its proper divisors (6367119408).

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

2095338960 is a wasteful number, since it uses less digits than its factorization.

2095338960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2095338960 is about 45774.8725831105. The cubic root of 2095338960 is about 1279.6310297193.

The spelling of 2095338960 in words is "two billion, ninety-five million, three hundred thirty-eight thousand, nine hundred sixty".