2095904160 has 672 divisors, whose sum is σ = 9043114752. Its totient is φ = 447897600.

The previous prime is 2095904159. The next prime is 2095904171. The reversal of 2095904160 is 614095902.

2095904160 is a `hidden beast` number, since 2 + 0 + 9 + 590 + 4 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×2095904160³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13880085 + ... + 13880235.

It is an arithmetic number, because the mean of its divisors is an integer number (13457016).

Almost surely, 2^2095904160 is an apocalyptic number.

2095904160 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 2095904160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521557376).

2095904160 is an abundant number, since it is smaller than the sum of its proper divisors (6947210592).

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

2095904160 is a wasteful number, since it uses less digits than its factorization.

2095904160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2095904160 is about 45781.0458596131. The cubic root of 2095904160 is about 1279.7460759324.

The spelling of 2095904160 in words is "two billion, ninety-five million, nine hundred four thousand, one hundred sixty".