2075082240 has 640 divisors, whose sum is σ = 8626590720. Its totient is φ = 416317440.

The previous prime is 2075082227. The next prime is 2075082257. The reversal of 2075082240 is 422805702.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2075082198 and 2075082207.

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 63 ways as a sum of consecutive naturals, for example, 71554546 + ... + 71554574.

It is an arithmetic number, because the mean of its divisors is an integer number (13479048).

Almost surely, 2^2075082240 is an apocalyptic number.

2075082240 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 2075082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313295360).

2075082240 is an abundant number, since it is smaller than the sum of its proper divisors (6551508480).

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

2075082240 is an equidigital number, since it uses as much as digits as its factorization.

2075082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2075082240 is about 45553.0705880515. The cubic root of 2075082240 is about 1275.4940522864.

Adding to 2075082240 its reverse (422805702), we get a palindrome (2497887942).

The spelling of 2075082240 in words is "two billion, seventy-five million, eighty-two thousand, two hundred forty".