2028170501280 has 2592 divisors, whose sum is σ = 9346041169920. Its totient is φ = 398529331200.

The previous prime is 2028170501239. The next prime is 2028170501281. The reversal of 2028170501280 is 821050718202.

2028170501280 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 1 + 70 + 501 + 2 + 80 = 666.

It is a super-2 number, since 2×2028170501280² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028170501281) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 20908974192 + ... + 20908974288.

It is an arithmetic number, because the mean of its divisors is an integer number (3605725760).

Almost surely, 2^{2028170501280} is an apocalyptic number.

2028170501280 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 2028170501280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4673020584960).

2028170501280 is an abundant number, since it is smaller than the sum of its proper divisors (7317870668640).

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

2028170501280 is a wasteful number, since it uses less digits than its factorization.

2028170501280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 2028170501280 in words is "two trillion, twenty-eight billion, one hundred seventy million, five hundred one thousand, two hundred eighty".