2075809008 has 320 divisors, whose sum is σ = 6901558272. Its totient is φ = 523100160.

The previous prime is 2075809007. The next prime is 2075809019. The reversal of 2075809008 is 8009085702.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2075809007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11998810 + ... + 11998982.

Almost surely, 2^2075809008 is an apocalyptic number.

2075809008 is a gapful number since it is divisible by the number (28) 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 2075809008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450779136).

2075809008 is an abundant number, since it is smaller than the sum of its proper divisors (4825749264).

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

2075809008 is a wasteful number, since it uses less digits than its factorization.

2075809008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 2075809008 is about 45561.0470467921. The cubic root of 2075809008 is about 1275.6429427806.

The spelling of 2075809008 in words is "two billion, seventy-five million, eight hundred nine thousand, eight".