2002050214031 has 8 divisors (see below), whose sum is σ = 2288069738784. Its totient is φ = 1716033777120.

The previous prime is 2002050214019. The next prime is 2002050214051. The reversal of 2002050214031 is 1304120502002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2002050214031 - 2³⁸ = 1727172307087 is a prime.

It is a super-2 number, since 2×2002050214031² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002050213994 and 2002050214012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002050214051) 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 7 ways as a sum of consecutive naturals, for example, 842501 + ... + 2171153.

It is an arithmetic number, because the mean of its divisors is an integer number (286008717348).

Almost surely, 2^{2002050214031} is an apocalyptic number.

2002050214031 is a deficient number, since it is larger than the sum of its proper divisors (286019524753).

2002050214031 is a wasteful number, since it uses less digits than its factorization.

2002050214031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543921.

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 2002050214031 its reverse (1304120502002), we get a palindrome (3306170716033).

The spelling of 2002050214031 in words is "two trillion, two billion, fifty million, two hundred fourteen thousand, thirty-one".