2095709616 has 720 divisors, whose sum is σ = 8397462528. Its totient is φ = 479001600.

The previous prime is 2095709531. The next prime is 2095709617. The reversal of 2095709616 is 6169075902.

It is a happy number.

2095709616 is a `hidden beast` number, since 20 + 9 + 5 + 7 + 0 + 9 + 616 = 666.

It is not an unprimeable number, because it can be changed into a prime (2095709617) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31279215 + ... + 31279281.

Almost surely, 2^2095709616 is an apocalyptic number.

2095709616 is a gapful number since it is divisible by the number (26) 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 2095709616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198731264).

2095709616 is an abundant number, since it is smaller than the sum of its proper divisors (6301752912).

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

2095709616 is a wasteful number, since it uses less digits than its factorization.

2095709616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 2095709616 is about 45778.9210882039. The cubic root of 2095709616 is about 1279.7064789208.

The spelling of 2095709616 in words is "two billion, ninety-five million, seven hundred nine thousand, six hundred sixteen".