2131002020 has 96 divisors (see below), whose sum is σ = 5468456448. Its totient is φ = 680896512.

The previous prime is 2131002007. The next prime is 2131002059. The reversal of 2131002020 is 202001312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2131001992 and 2131002010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240794 + ... + 249486.

It is an arithmetic number, because the mean of its divisors is an integer number (56963088).

Almost surely, 2^2131002020 is an apocalyptic number.

2131002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734228224).

2131002020 is an abundant number, since it is smaller than the sum of its proper divisors (3337454428).

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

2131002020 is a wasteful number, since it uses less digits than its factorization.

2131002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8829 (or 8827 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2131002020 is about 46162.7774294398. Note that the first 3 decimals coincide. The cubic root of 2131002020 is about 1286.8500797474.

Adding to 2131002020 its reverse (202001312), we get a palindrome (2333003332).

The spelling of 2131002020 in words is "two billion, one hundred thirty-one million, two thousand, twenty".