2075083920000 has 4480 divisors, whose sum is σ = 10532055663360. Its totient is φ = 394149888000.

The previous prime is 2075083919981. The next prime is 2075083920001. The reversal of 2075083920000 is 293805702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2075083920001) by changing a digit.

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 559 ways as a sum of consecutive naturals, for example, 90221039989 + ... + 90221040011.

It is an arithmetic number, because the mean of its divisors is an integer number (2350905282).

Almost surely, 2^{2075083920000} is an apocalyptic number.

2075083920000 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 2075083920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266027831680).

2075083920000 is an abundant number, since it is smaller than the sum of its proper divisors (8456971743360).

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

2075083920000 is an equidigital number, since it uses as much as digits as its factorization.

2075083920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 2075083920000 in words is "two trillion, seventy-five billion, eighty-three million, nine hundred twenty thousand".