2002224158028 has 72 divisors (see below), whose sum is σ = 5131411084800. Its totient is φ = 658185682176.

The previous prime is 2002224158027. The next prime is 2002224158029. The reversal of 2002224158028 is 8208514222002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2002224158027) and next prime (2002224158029).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2002224157983 and 2002224158001.

It is not an unprimeable number, because it can be changed into a prime (2002224158027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411318 + ... + 2042946.

It is an arithmetic number, because the mean of its divisors is an integer number (71269598400).

Almost surely, 2^{2002224158028} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002224158028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565705542400).

2002224158028 is an abundant number, since it is smaller than the sum of its proper divisors (3129186926772).

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

2002224158028 is a wasteful number, since it uses less digits than its factorization.

2002224158028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632111 (or 1632106 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 2002224158028 in words is "two trillion, two billion, two hundred twenty-four million, one hundred fifty-eight thousand, twenty-eight".