2028801576960 has 312 divisors, whose sum is σ = 7259189743104. Its totient is φ = 523560222720.

The previous prime is 2028801576947. The next prime is 2028801577039. The reversal of 2028801576960 is 696751088202.

2028801576960 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 8 + 0 + 1 + 576 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2028801576897 and 2028801576906.

It is a congruent number.

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, 5536389 + ... + 5891451.

It is an arithmetic number, because the mean of its divisors is an integer number (23266633792).

Almost surely, 2^{2028801576960} is an apocalyptic number.

2028801576960 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 2028801576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629594871552).

2028801576960 is an abundant number, since it is smaller than the sum of its proper divisors (5230388166144).

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

2028801576960 is a wasteful number, since it uses less digits than its factorization.

2028801576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355129 (or 355104 counting only the distinct ones).

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

The spelling of 2028801576960 in words is "two trillion, twenty-eight billion, eight hundred one million, five hundred seventy-six thousand, nine hundred sixty".