2002120020 has 36 divisors (see below), whose sum is σ = 6073097940. Its totient is φ = 533898624.

The previous prime is 2002120013. The next prime is 2002120051. The reversal of 2002120020 is 200212002.

It can be written as a sum of positive squares in 2 ways, for example, as 1439291844 + 562828176 = 37938^2 + 23724^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2002119984 and 2002120011.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5561265 + ... + 5561624.

It is an arithmetic number, because the mean of its divisors is an integer number (168697165).

Almost surely, 2^2002120020 is an apocalyptic number.

2002120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002120020 is an abundant number, since it is smaller than the sum of its proper divisors (4070977920).

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

2002120020 is a wasteful number, since it uses less digits than its factorization.

2002120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122904 (or 11122899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2002120020 is about 44745.0558162575. The cubic root of 2002120020 is about 1260.3660689944.

Adding to 2002120020 its reverse (200212002), we get a palindrome (2202332022).

The spelling of 2002120020 in words is "two billion, two million, one hundred twenty thousand, twenty".