2028765840 has 160 divisors (see below), whose sum is σ = 6391733760. Its totient is φ = 532267008.

The previous prime is 2028765821. The next prime is 2028765841. The reversal of 2028765840 is 485678202.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2028765792 and 2028765801.

It is not an unprimeable number, because it can be changed into a prime (2028765841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6481524 + ... + 6481836.

It is an arithmetic number, because the mean of its divisors is an integer number (39948336).

Almost surely, 2^2028765840 is an apocalyptic number.

2028765840 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 2028765840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195866880).

2028765840 is an abundant number, since it is smaller than the sum of its proper divisors (4362967920).

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

2028765840 is a wasteful number, since it uses less digits than its factorization.

2028765840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 2028765840 is about 45041.8232313036. The cubic root of 2028765840 is about 1265.9327672319.

The spelling of 2028765840 in words is "two billion, twenty-eight million, seven hundred sixty-five thousand, eight hundred forty".