2042202200240 has 80 divisors (see below), whose sum is σ = 4799551038240. Its totient is φ = 808075008000.

The previous prime is 2042202200239. The next prime is 2042202200243. The reversal of 2042202200240 is 420022022402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2042202200243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2748740 + ... + 3411740.

It is an arithmetic number, because the mean of its divisors is an integer number (59994387978).

Almost surely, 2^{2042202200240} is an apocalyptic number.

2042202200240 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 2042202200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399775519120).

2042202200240 is an abundant number, since it is smaller than the sum of its proper divisors (2757348838000).

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

2042202200240 is a wasteful number, since it uses less digits than its factorization.

2042202200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663430 (or 663424 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 2042202200240 its reverse (420022022402), we get a palindrome (2462224222642).

The spelling of 2042202200240 in words is "two trillion, forty-two billion, two hundred two million, two hundred thousand, two hundred forty".