2030806561728 has 672 divisors, whose sum is σ = 6601085884416. Its totient is φ = 548674560000.

The previous prime is 2030806561723. The next prime is 2030806561757. The reversal of 2030806561728 is 8271656080302.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030806561723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3753801138 + ... + 3753801678.

Almost surely, 2^{2030806561728} is an apocalyptic number.

2030806561728 is a gapful number since it is divisible by the number (28) 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 2030806561728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300542942208).

2030806561728 is an abundant number, since it is smaller than the sum of its proper divisors (4570279322688).

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

2030806561728 is a wasteful number, since it uses less digits than its factorization.

2030806561728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 2030806561728 in words is "two trillion, thirty billion, eight hundred six million, five hundred sixty-one thousand, seven hundred twenty-eight".