20442112002 has 96 divisors (see below), whose sum is σ = 48104168112. Its totient is φ = 6236600832.

The previous prime is 20442111947. The next prime is 20442112013. The reversal of 20442112002 is 20021124402.

20442112002 is a `hidden beast` number, since 20 + 442 + 1 + 1 + 200 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8717770161 + 11724341841 = 93369^2 + 108279^2 .

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 47 ways as a sum of consecutive naturals, for example, 18300348 + ... + 18301464.

Almost surely, 2^20442112002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20442112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24052084056).

20442112002 is an abundant number, since it is smaller than the sum of its proper divisors (27662056110).

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

20442112002 is a wasteful number, since it uses less digits than its factorization.

20442112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1729 counting only the distinct ones).

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

Adding to 20442112002 its reverse (20021124402), we get a palindrome (40463236404).

The spelling of 20442112002 in words is "twenty billion, four hundred forty-two million, one hundred twelve thousand, two".