211004010 has 96 divisors (see below), whose sum is σ = 641646720. Its totient is φ = 47101824.

The previous prime is 211003997. The next prime is 211004021. The reversal of 211004010 is 10400112.

It is a happy number.

211004010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211003983 and 211004001.

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, 23196 + ... + 30984.

It is an arithmetic number, because the mean of its divisors is an integer number (6683820).

Almost surely, 2^211004010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211004010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320823360).

211004010 is an abundant number, since it is smaller than the sum of its proper divisors (430642710).

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

211004010 is a wasteful number, since it uses less digits than its factorization.

211004010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7852 (or 7849 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 211004010 is about 14525.9770755705. The cubic root of 211004010 is about 595.3379526803.

Adding to 211004010 its reverse (10400112), we get a palindrome (221404122).

The spelling of 211004010 in words is "two hundred eleven million, four thousand, ten".