2040228000 has 288 divisors, whose sum is σ = 7512523200. Its totient is φ = 543801600.

The previous prime is 2040227971. The next prime is 2040228007. The reversal of 2040228000 is 8220402.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2040228007) 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, 970951 + ... + 973049.

It is an arithmetic number, because the mean of its divisors is an integer number (26085150).

Almost surely, 2^2040228000 is an apocalyptic number.

2040228000 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 2040228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756261600).

2040228000 is an abundant number, since it is smaller than the sum of its proper divisors (5472295200).

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

2040228000 is an equidigital number, since it uses as much as digits as its factorization.

2040228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2040228000 is about 45168.8830944490. The cubic root of 2040228000 is about 1268.3123884103.

Adding to 2040228000 its reverse (8220402), we get a palindrome (2048448402).

The spelling of 2040228000 in words is "two billion, forty million, two hundred twenty-eight thousand".