2095716672 has 336 divisors, whose sum is σ = 7317760320. Its totient is φ = 586220544.

The previous prime is 2095716643. The next prime is 2095716673. The reversal of 2095716672 is 2766175902.

2095716672 is a `hidden beast` number, since 2 + 0 + 9 + 571 + 6 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2095716673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4487383 + ... + 4487849.

Almost surely, 2^2095716672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2095716672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658880160).

2095716672 is an abundant number, since it is smaller than the sum of its proper divisors (5222043648).

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

2095716672 is a wasteful number, since it uses less digits than its factorization.

2095716672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 2095716672 is about 45778.9981541755. The cubic root of 2095716672 is about 1279.7079151247.

It can be divided in two parts, 209 and 5716672, that added together give a square (5716881 = 2391²).

The spelling of 2095716672 in words is "two billion, ninety-five million, seven hundred sixteen thousand, six hundred seventy-two".