2028460140000 has 720 divisors, whose sum is σ = 8671662679680. Its totient is φ = 439240320000.

The previous prime is 2028460139983. The next prime is 2028460140041. The reversal of 2028460140000 is 410648202.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2028460140000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23897635 + ... + 23982365.

It is an arithmetic number, because the mean of its divisors is an integer number (12043975944).

Almost surely, 2^{2028460140000} is an apocalyptic number.

2028460140000 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 2028460140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335831339840).

2028460140000 is an abundant number, since it is smaller than the sum of its proper divisors (6643202539680).

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

2028460140000 is a wasteful number, since it uses less digits than its factorization.

2028460140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84793 (or 84767 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 2028460140000 its reverse (410648202), we get a palindrome (2028870788202).

The spelling of 2028460140000 in words is "two trillion, twenty-eight billion, four hundred sixty million, one hundred forty thousand".