2042220220002 has 64 divisors (see below), whose sum is σ = 4607842982400. Its totient is φ = 670311821520.

The previous prime is 2042220219979. The next prime is 2042220220057. The reversal of 2042220220002 is 2000220222402.

It is a happy number.

2042220220002 is a `hidden beast` number, since 2 + 0 + 422 + 20 + 220 + 0 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9045649 + ... + 9268667.

It is an arithmetic number, because the mean of its divisors is an integer number (71997546600).

Almost surely, 2^{2042220220002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042220220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303921491200).

2042220220002 is an abundant number, since it is smaller than the sum of its proper divisors (2565622762398).

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

2042220220002 is a wasteful number, since it uses less digits than its factorization.

2042220220002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225628 (or 225622 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 2042220220002 its reverse (2000220222402), we get a palindrome (4042440442404).

The spelling of 2042220220002 in words is "two trillion, forty-two billion, two hundred twenty million, two hundred twenty thousand, two".