2141332020 has 36 divisors (see below), whose sum is σ = 6495374340. Its totient is φ = 571021824.

The previous prime is 2141332013. The next prime is 2141332021. The reversal of 2141332020 is 202331412.

It can be written as a sum of positive squares in 2 ways, for example, as 1365598116 + 775733904 = 36954^2 + 27852^2 .

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 2141331984 and 2141332002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141332021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5947965 + ... + 5948324.

It is an arithmetic number, because the mean of its divisors is an integer number (180427065).

Almost surely, 2^2141332020 is an apocalyptic number.

2141332020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141332020 is an abundant number, since it is smaller than the sum of its proper divisors (4354042320).

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

2141332020 is a wasteful number, since it uses less digits than its factorization.

2141332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11896304 (or 11896299 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2141332020 is about 46274.5288468721. The cubic root of 2141332020 is about 1288.9260576820.

Adding to 2141332020 its reverse (202331412), we get a palindrome (2343663432).

It can be divided in two parts, 214133 and 2020, that added together give a triangular number (216153 = T₆₅₇).

The spelling of 2141332020 in words is "two billion, one hundred forty-one million, three hundred thirty-two thousand, twenty".