2095585440 has 192 divisors, whose sum is σ = 7283146752. Its totient is φ = 503193600.

The previous prime is 2095585439. The next prime is 2095585441. The reversal of 2095585440 is 445855902.

It is an interprime number because it is at equal distance from previous prime (2095585439) and next prime (2095585441).

It is a junction number, because it is equal to n+sod(n) for n = 2095585392 and 2095585401.

It is not an unprimeable number, because it can be changed into a prime (2095585441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251745 + ... + 259935.

It is an arithmetic number, because the mean of its divisors is an integer number (37933056).

Almost surely, 2^2095585440 is an apocalyptic number.

2095585440 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 2095585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641573376).

2095585440 is an abundant number, since it is smaller than the sum of its proper divisors (5187561312).

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

2095585440 is a wasteful number, since it uses less digits than its factorization.

2095585440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8263 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 2095585440 is about 45777.5648107236. The cubic root of 2095585440 is about 1279.6812031591.

The spelling of 2095585440 in words is "two billion, ninety-five million, five hundred eighty-five thousand, four hundred forty".