211031040 has 176 divisors, whose sum is σ = 736920000. Its totient is φ = 51118080.

The previous prime is 211031033. The next prime is 211031063. The reversal of 211031040 is 40130112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168336 + ... + 169584.

Almost surely, 2^211031040 is an apocalyptic number.

211031040 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 211031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368460000).

211031040 is an abundant number, since it is smaller than the sum of its proper divisors (525888960).

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

211031040 is a wasteful number, since it uses less digits than its factorization.

211031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 211031040 is about 14526.9074479051. The cubic root of 211031040 is about 595.3633728888.

Adding to 211031040 its reverse (40130112), we get a palindrome (251161152).

The spelling of 211031040 in words is "two hundred eleven million, thirty-one thousand, forty".