2028636480 has 224 divisors, whose sum is σ = 7069555584. Its totient is φ = 489775104.

The previous prime is 2028636451. The next prime is 2028636487. The reversal of 2028636480 is 846368202.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028636487) 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, 659907 + ... + 662973.

It is an arithmetic number, because the mean of its divisors is an integer number (31560516).

Almost surely, 2^2028636480 is an apocalyptic number.

2028636480 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 2028636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534777792).

2028636480 is an abundant number, since it is smaller than the sum of its proper divisors (5040919104).

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

2028636480 is a wasteful number, since it uses less digits than its factorization.

2028636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 2028636480 is about 45040.3872097032. The cubic root of 2028636480 is about 1265.9058601438.

The spelling of 2028636480 in words is "two billion, twenty-eight million, six hundred thirty-six thousand, four hundred eighty".