2095835040 has 384 divisors, whose sum is σ = 8031985920. Its totient is φ = 507285504.

The previous prime is 2095835029. The next prime is 2095835081. The reversal of 2095835040 is 405385902.

2095835040 is a `hidden beast` number, since 20 + 9 + 583 + 50 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2095834986 and 2095835004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3762442 + ... + 3762998.

It is an arithmetic number, because the mean of its divisors is an integer number (20916630).

Almost surely, 2^2095835040 is an apocalyptic number.

2095835040 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 2095835040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015992960).

2095835040 is an abundant number, since it is smaller than the sum of its proper divisors (5936150880).

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

2095835040 is a wasteful number, since it uses less digits than its factorization.

2095835040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2095835040 is about 45780.2909558251. The cubic root of 2095835040 is about 1279.7320076967.

The spelling of 2095835040 in words is "two billion, ninety-five million, eight hundred thirty-five thousand, forty".