2075960880 has 640 divisors, whose sum is σ = 8715632640. Its totient is φ = 444165120.

The previous prime is 2075960839. The next prime is 2075960893. The reversal of 2075960880 is 880695702.

It is a super-2 number, since 2×2075960880² = 8619227150580748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 20154909 + ... + 20155011.

It is an arithmetic number, because the mean of its divisors is an integer number (13618176).

Almost surely, 2^2075960880 is an apocalyptic number.

2075960880 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 2075960880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357816320).

2075960880 is an abundant number, since it is smaller than the sum of its proper divisors (6639671760).

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

2075960880 is a wasteful number, since it uses less digits than its factorization.

2075960880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2075960880 is about 45562.7137032025. The cubic root of 2075960880 is about 1275.6740518919.

The spelling of 2075960880 in words is "two billion, seventy-five million, nine hundred sixty thousand, eight hundred eighty".