211001080 has 64 divisors (see below), whose sum is σ = 521510400. Its totient is φ = 76475520.

The previous prime is 211001053. The next prime is 211001081. The reversal of 211001080 is 80100112.

211001080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211001080² = 89042911522332800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211001080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211001081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11445 + ... + 23515.

It is an arithmetic number, because the mean of its divisors is an integer number (8148600).

Almost surely, 2^211001080 is an apocalyptic number.

211001080 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 211001080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260755200).

211001080 is an abundant number, since it is smaller than the sum of its proper divisors (310509320).

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

211001080 is a wasteful number, since it uses less digits than its factorization.

211001080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12124 (or 12120 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 211001080 is about 14525.8762214195. The cubic root of 211001080 is about 595.3351970482.

Adding to 211001080 its reverse (80100112), we get a palindrome (291101192).

The spelling of 211001080 in words is "two hundred eleven million, one thousand, eighty".