2142021020 has 48 divisors (see below), whose sum is σ = 4651063200. Its totient is φ = 828013824.

The previous prime is 2142021001. The next prime is 2142021059. The reversal of 2142021020 is 201202412.

It is a junction number, because it is equal to n+sod(n) for n = 2142020986 and 2142021004.

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 15 ways as a sum of consecutive naturals, for example, 100547 + ... + 119973.

It is an arithmetic number, because the mean of its divisors is an integer number (96897150).

Almost surely, 2^2142021020 is an apocalyptic number.

2142021020 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 2142021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325531600).

2142021020 is an abundant number, since it is smaller than the sum of its proper divisors (2509042180).

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

2142021020 is a wasteful number, since it uses less digits than its factorization.

2142021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19622 (or 19620 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2142021020 is about 46281.9729484386. The cubic root of 2142021020 is about 1289.0642854788.

Adding to 2142021020 its reverse (201202412), we get a palindrome (2343223432).

The spelling of 2142021020 in words is "two billion, one hundred forty-two million, twenty-one thousand, twenty".