2075984960 has 168 divisors, whose sum is σ = 5886175680. Its totient is φ = 694987776.

The previous prime is 2075984959. The next prime is 2075984983. The reversal of 2075984960 is 694895702.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2075984899 and 2075984908.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672701 + ... + 675779.

It is an arithmetic number, because the mean of its divisors is an integer number (35036760).

Almost surely, 2^2075984960 is an apocalyptic number.

2075984960 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 2075984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943087840).

2075984960 is an abundant number, since it is smaller than the sum of its proper divisors (3810190720).

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

2075984960 is a wasteful number, since it uses less digits than its factorization.

2075984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The square root of 2075984960 is about 45562.9779535974. The cubic root of 2075984960 is about 1275.6789842444.

The spelling of 2075984960 in words is "two billion, seventy-five million, nine hundred eighty-four thousand, nine hundred sixty".