211042020 has 144 divisors (see below), whose sum is σ = 717510528. Its totient is φ = 46126080.

The previous prime is 211042009. The next prime is 211042037. The reversal of 211042020 is 20240112.

211042020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×211042020³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211041987 and 211042005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66060 + ... + 69180.

It is an arithmetic number, because the mean of its divisors is an integer number (4982712).

Almost surely, 2^211042020 is an apocalyptic number.

211042020 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 211042020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358755264).

211042020 is an abundant number, since it is smaller than the sum of its proper divisors (506468508).

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

211042020 is a wasteful number, since it uses less digits than its factorization.

211042020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 211042020 is about 14527.2853623793. The cubic root of 211042020 is about 595.3736983469.

Adding to 211042020 its reverse (20240112), we get a palindrome (231282132).

It can be divided in two parts, 21 and 1042020, that multiplied together give a triangular number (21882420 = T₆₆₁₅).

The spelling of 211042020 in words is "two hundred eleven million, forty-two thousand, twenty".