2075825280 has 128 divisors (see below), whose sum is σ = 6629428800. Its totient is φ = 552488960.

The previous prime is 2075825243. The next prime is 2075825327. The reversal of 2075825280 is 825285702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1955950 + ... + 1957010.

Almost surely, 2^2075825280 is an apocalyptic number.

2075825280 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 2075825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314714400).

2075825280 is an abundant number, since it is smaller than the sum of its proper divisors (4553603520).

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

2075825280 is a wasteful number, since it uses less digits than its factorization.

2075825280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 2075825280 is about 45561.2256200379. The cubic root of 2075825280 is about 1275.6462759723.

The spelling of 2075825280 in words is "two billion, seventy-five million, eight hundred twenty-five thousand, two hundred eighty".