2040442022080 has 280 divisors, whose sum is σ = 6183588211920. Its totient is φ = 635979294720.

The previous prime is 2040442022077. The next prime is 2040442022089. The reversal of 2040442022080 is 802202440402.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2040442022089) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 8330806 + ... + 8572234.

It is an arithmetic number, because the mean of its divisors is an integer number (22084243614).

Almost surely, 2^{2040442022080} is an apocalyptic number.

2040442022080 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 2040442022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091794105960).

2040442022080 is an abundant number, since it is smaller than the sum of its proper divisors (4143146189840).

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

2040442022080 is an equidigital number, since it uses as much as digits as its factorization.

2040442022080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241485 (or 241454 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 2040442022080 its reverse (802202440402), we get a palindrome (2842644462482).

The spelling of 2040442022080 in words is "two trillion, forty billion, four hundred forty-two million, twenty-two thousand, eighty".