2028058560 has 336 divisors, whose sum is σ = 7895002752. Its totient is φ = 491443200.

The previous prime is 2028058489. The next prime is 2028058561. The reversal of 2028058560 is 658508202.

2028058560 is a `hidden beast` number, since 20 + 28 + 0 + 58 + 560 = 666.

It is a super-2 number, since 2×2028058560² = 8226043045578547200, which 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 (2028058561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 854175 + ... + 856545.

It is an arithmetic number, because the mean of its divisors is an integer number (23497032).

Almost surely, 2^2028058560 is an apocalyptic number.

2028058560 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 2028058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947501376).

2028058560 is an abundant number, since it is smaller than the sum of its proper divisors (5866944192).

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

2028058560 is a wasteful number, since it uses less digits than its factorization.

2028058560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2028058560 is about 45033.9711773235. The cubic root of 2028058560 is about 1265.7856378820.

The spelling of 2028058560 in words is "two billion, twenty-eight million, fifty-eight thousand, five hundred sixty".