2028317760000 has 1500 divisors, whose sum is σ = 8805695601978. Its totient is φ = 463325184000.

The previous prime is 2028317759983. The next prime is 2028317760013. The reversal of 2028317760000 is 677138202.

2028317760000 is a `hidden beast` number, since 20 + 28 + 3 + 1 + 7 + 7 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 5414605056 + 2022903154944 = 73584^2 + 1422288^2 .

It is a tau number, because it is divible by the number of its divisors (1500).

It is a super-2 number, since 2×2028317760000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 1270079202 + ... + 1270080798.

Almost surely, 2^{2028317760000} is an apocalyptic number.

2028317760000 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 2028317760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402847800989).

2028317760000 is an abundant number, since it is smaller than the sum of its proper divisors (6777377841978).

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

2028317760000 is an frugal number, since it uses more digits than its factorization.

2028317760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 2028317760000 in words is "two trillion, twenty-eight billion, three hundred seventeen million, seven hundred sixty thousand".