2075875840 has 80 divisors (see below), whose sum is σ = 5000383080. Its totient is φ = 826490880.

The previous prime is 2075875793. The next prime is 2075875843. The reversal of 2075875840 is 485785702.

It can be written as a sum of positive squares in 4 ways, for example, as 1954347264 + 121528576 = 44208^2 + 11024^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2075875843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 584470 + ... + 588010.

Almost surely, 2^2075875840 is an apocalyptic number.

2075875840 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 2075875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500191540).

2075875840 is an abundant number, since it is smaller than the sum of its proper divisors (2924507240).

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

2075875840 is an equidigital number, since it uses as much as digits as its factorization.

2075875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3793 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 46.

The square root of 2075875840 is about 45561.7804744283. The cubic root of 2075875840 is about 1275.6566326808.

The spelling of 2075875840 in words is "two billion, seventy-five million, eight hundred seventy-five thousand, eight hundred forty".