211043040 has 192 divisors, whose sum is σ = 739694592. Its totient is φ = 50227200.

The previous prime is 211042987. The next prime is 211043081. The reversal of 211043040 is 40340112.

211043040 is digitally balanced in base 3, 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192895 + ... + 193985.

It is an arithmetic number, because the mean of its divisors is an integer number (3852576).

Almost surely, 2^211043040 is an apocalyptic number.

211043040 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 211043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369847296).

211043040 is an abundant number, since it is smaller than the sum of its proper divisors (528651552).

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

211043040 is a wasteful number, since it uses less digits than its factorization.

211043040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 211043040 is about 14527.3204686893. The cubic root of 211043040 is about 595.3746575242.

Adding to 211043040 its reverse (40340112), we get a palindrome (251383152).

It can be divided in two parts, 2110 and 43040, that added together give a triangular number (45150 = T₃₀₀).

The spelling of 211043040 in words is "two hundred eleven million, forty-three thousand, forty".