2066428320 has 288 divisors, whose sum is σ = 7316676864. Its totient is φ = 489646080.

The previous prime is 2066428279. The next prime is 2066428327. The reversal of 2066428320 is 238246602.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066428327) 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, 2729382 + ... + 2730138.

It is an arithmetic number, because the mean of its divisors is an integer number (25405128).

Almost surely, 2^2066428320 is an apocalyptic number.

2066428320 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 2066428320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658338432).

2066428320 is an abundant number, since it is smaller than the sum of its proper divisors (5250248544).

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

2066428320 is a wasteful number, since it uses less digits than its factorization.

2066428320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2066428320 is about 45457.9841172043. The cubic root of 2066428320 is about 1273.7184755172.

It can be divided in two parts, 20664 and 28320, that added together give a palindrome (48984).

The spelling of 2066428320 in words is "two billion, sixty-six million, four hundred twenty-eight thousand, three hundred twenty".