213010240 has 56 divisors (see below), whose sum is σ = 510006600. Its totient is φ = 84738048.

The previous prime is 213010223. The next prime is 213010241. The reversal of 213010240 is 42010312.

It can be written as a sum of positive squares in 4 ways, for example, as 6110784 + 206899456 = 2472^2 + 14384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 213010240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213010241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 60036 + ... + 63484.

Almost surely, 2^213010240 is an apocalyptic number.

213010240 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 213010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255003300).

213010240 is an abundant number, since it is smaller than the sum of its proper divisors (296996360).

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

213010240 is a wasteful number, since it uses less digits than its factorization.

213010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 213010240 is about 14594.8703317296. The cubic root of 213010240 is about 597.2188321311.

Adding to 213010240 its reverse (42010312), we get a palindrome (255020552).

The spelling of 213010240 in words is "two hundred thirteen million, ten thousand, two hundred forty".