210242424 has 128 divisors (see below), whose sum is σ = 622702080. Its totient is φ = 57907200.

The previous prime is 210242419. The next prime is 210242497. The reversal of 210242424 is 424242012.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 210242424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 902212 + ... + 902444.

It is an arithmetic number, because the mean of its divisors is an integer number (4864860).

Almost surely, 2^210242424 is an apocalyptic number.

210242424 is a gapful number since it is divisible by the number (24) 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 210242424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311351040).

210242424 is an abundant number, since it is smaller than the sum of its proper divisors (412459656).

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

210242424 is a wasteful number, since it uses less digits than its factorization.

210242424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 210242424 is about 14499.7387562673. The cubic root of 210242424 is about 594.6208294372.

Adding to 210242424 its reverse (424242012), we get a palindrome (634484436).

The spelling of 210242424 in words is "two hundred ten million, two hundred forty-two thousand, four hundred twenty-four".