211070340 has 192 divisors, whose sum is σ = 716325120. Its totient is φ = 51287040.

The previous prime is 211070281. The next prime is 211070341. The reversal of 211070340 is 43070112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211070341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 751000 + ... + 751280.

It is an arithmetic number, because the mean of its divisors is an integer number (3730860).

Almost surely, 2^211070340 is an apocalyptic number.

211070340 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 211070340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358162560).

211070340 is an abundant number, since it is smaller than the sum of its proper divisors (505254780).

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

211070340 is a wasteful number, since it uses less digits than its factorization.

211070340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 211070340 is about 14528.2600472321. The cubic root of 211070340 is about 595.4003284764.

The spelling of 211070340 in words is "two hundred eleven million, seventy thousand, three hundred forty".