2028387686880 has 192 divisors, whose sum is σ = 6502411883520. Its totient is φ = 531351300096.

The previous prime is 2028387686879. The next prime is 2028387686891. The reversal of 2028387686880 is 886867838202.

It is a super-2 number, since 2×2028387686880² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40274194 + ... + 40324526.

It is an arithmetic number, because the mean of its divisors is an integer number (33866728560).

Almost surely, 2^{2028387686880} is an apocalyptic number.

2028387686880 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 2028387686880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251205941760).

2028387686880 is an abundant number, since it is smaller than the sum of its proper divisors (4474024196640).

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

2028387686880 is a wasteful number, since it uses less digits than its factorization.

2028387686880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51833 (or 51825 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 66.

The spelling of 2028387686880 in words is "two trillion, twenty-eight billion, three hundred eighty-seven million, six hundred eighty-six thousand, eight hundred eighty".