211040000 has 90 divisors (see below), whose sum is σ = 526800120. Its totient is φ = 84352000.

The previous prime is 211039999. The next prime is 211040051. The reversal of 211040000 is 40112.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 211040000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159341 + ... + 160659.

Almost surely, 2^211040000 is an apocalyptic number.

211040000 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 211040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263400060).

211040000 is an abundant number, since it is smaller than the sum of its proper divisors (315760120).

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

211040000 is an frugal number, since it uses more digits than its factorization.

211040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1326 counting only the distinct ones).

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

The square root of 211040000 is about 14527.2158378679. The cubic root of 211040000 is about 595.3717987904.

Adding to 211040000 its reverse (40112), we get a palindrome (211080112).

The spelling of 211040000 in words is "two hundred eleven million, forty thousand".