213030240 has 96 divisors (see below), whose sum is σ = 673505280. Its totient is φ = 56600064.

The previous prime is 213030229. The next prime is 213030287. The reversal of 213030240 is 42030312.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 165921 + ... + 167199.

It is an arithmetic number, because the mean of its divisors is an integer number (7015680).

Almost surely, 2^213030240 is an apocalyptic number.

213030240 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 213030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336752640).

213030240 is an abundant number, since it is smaller than the sum of its proper divisors (460475040).

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

213030240 is a wasteful number, since it uses less digits than its factorization.

213030240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 213030240 is about 14595.5554878874. Note that the first 3 decimals coincide. The cubic root of 213030240 is about 597.2375229427.

Adding to 213030240 its reverse (42030312), we get a palindrome (255060552).

The spelling of 213030240 in words is "two hundred thirteen million, thirty thousand, two hundred forty".