2028011513580 has 480 divisors, whose sum is σ = 7076027185920. Its totient is φ = 483070832640.

The previous prime is 2028011513579. The next prime is 2028011513581. The reversal of 2028011513580 is 853151108202.

2028011513580 is a `hidden beast` number, since 2 + 0 + 2 + 80 + 11 + 513 + 58 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2028011513579) and next prime (2028011513581).

It is a super-2 number, since 2×2028011513580² (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 not an unprimeable number, because it can be changed into a prime (2028011513581) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 88082470 + ... + 88105490.

It is an arithmetic number, because the mean of its divisors is an integer number (14741723304).

Almost surely, 2^{2028011513580} is an apocalyptic number.

2028011513580 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 2028011513580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538013592960).

2028011513580 is an abundant number, since it is smaller than the sum of its proper divisors (5048015672340).

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

2028011513580 is a wasteful number, since it uses less digits than its factorization.

2028011513580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23191 (or 23180 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 2028011513580 in words is "two trillion, twenty-eight billion, eleven million, five hundred thirteen thousand, five hundred eighty".