211424240 has 80 divisors (see below), whose sum is σ = 527028768. Its totient is φ = 78594048.

The previous prime is 211424219. The next prime is 211424263. The reversal of 211424240 is 42424112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111944 + ... + 113816.

Almost surely, 2^211424240 is an apocalyptic number.

211424240 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 211424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263514384).

211424240 is an abundant number, since it is smaller than the sum of its proper divisors (315604528).

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

211424240 is a wasteful number, since it uses less digits than its factorization.

211424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 211424240 is about 14540.4346565018. The cubic root of 211424240 is about 595.7329103688.

Adding to 211424240 its reverse (42424112), we get a palindrome (253848352).

The spelling of 211424240 in words is "two hundred eleven million, four hundred twenty-four thousand, two hundred forty".