2075804640 has 864 divisors, whose sum is σ = 9285808896. Its totient is φ = 418037760.

The previous prime is 2075804623. The next prime is 2075804699. The reversal of 2075804640 is 464085702.

2075804640 is a `hidden beast` number, since 2 + 0 + 7 + 5 + 8 + 0 + 4 + 640 = 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 = 2075804595 and 2075804604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28435644 + ... + 28435716.

It is an arithmetic number, because the mean of its divisors is an integer number (10747464).

Almost surely, 2^2075804640 is an apocalyptic number.

2075804640 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 2075804640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642904448).

2075804640 is an abundant number, since it is smaller than the sum of its proper divisors (7210004256).

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

2075804640 is a wasteful number, since it uses less digits than its factorization.

2075804640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2075804640 is about 45560.9991110818. Note that the first 3 decimals coincide. The cubic root of 2075804640 is about 1275.6420480271.

The spelling of 2075804640 in words is "two billion, seventy-five million, eight hundred four thousand, six hundred forty".