2075071320 has 288 divisors, whose sum is σ = 8137977120. Its totient is φ = 449141760.

The previous prime is 2075071277. The next prime is 2075071331. The reversal of 2075071320 is 231705702.

2075071320 is a `hidden beast` number, since 20 + 7 + 507 + 132 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 908580 + ... + 910860.

It is an arithmetic number, because the mean of its divisors is an integer number (28256865).

Almost surely, 2^2075071320 is an apocalyptic number.

2075071320 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 2075071320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068988560).

2075071320 is an abundant number, since it is smaller than the sum of its proper divisors (6062905800).

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

2075071320 is a wasteful number, since it uses less digits than its factorization.

2075071320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 2075071320 is about 45552.9507276971. The cubic root of 2075071320 is about 1275.4918148779.

The spelling of 2075071320 in words is "two billion, seventy-five million, seventy-one thousand, three hundred twenty".