2075829940800 has 672 divisors, whose sum is σ = 9434407587840. Its totient is φ = 431340595200.

The previous prime is 2075829940799. The next prime is 2075829940861. The reversal of 2075829940800 is 80499285702.

2075829940800 is a `hidden beast` number, since 2 + 0 + 75 + 82 + 99 + 408 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 3014377 + ... + 3638423.

Almost surely, 2^{2075829940800} is an apocalyptic number.

2075829940800 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 2075829940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717203793920).

2075829940800 is an abundant number, since it is smaller than the sum of its proper divisors (7358577647040).

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

2075829940800 is a wasteful number, since it uses less digits than its factorization.

2075829940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624096 (or 624075 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2075829940800 in words is "two trillion, seventy-five billion, eight hundred twenty-nine million, nine hundred forty thousand, eight hundred".