2085021946080 has 480 divisors, whose sum is σ = 7404497743104. Its totient is φ = 552534441984.

The previous prime is 2085021946069. The next prime is 2085021946099. The reversal of 2085021946080 is 806491205802.

2085021946080 is a `hidden beast` number, since 2 + 0 + 8 + 502 + 1 + 9 + 4 + 60 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2416015729 + ... + 2416016591.

Almost surely, 2^{2085021946080} is an apocalyptic number.

2085021946080 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 2085021946080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702248871552).

2085021946080 is an abundant number, since it is smaller than the sum of its proper divisors (5319475797024).

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

2085021946080 is a wasteful number, since it uses less digits than its factorization.

2085021946080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2085021946080 in words is "two trillion, eighty-five billion, twenty-one million, nine hundred forty-six thousand, eighty".