213024240 has 240 divisors, whose sum is σ = 840883680. Its totient is φ = 47646720.

The previous prime is 213024239. The next prime is 213024241. The reversal of 213024240 is 42420312.

It is an interprime number because it is at equal distance from previous prime (213024239) and next prime (213024241).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213024241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101926 + ... + 103994.

It is an arithmetic number, because the mean of its divisors is an integer number (3503682).

Almost surely, 2^213024240 is an apocalyptic number.

213024240 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 213024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420441840).

213024240 is an abundant number, since it is smaller than the sum of its proper divisors (627859440).

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

213024240 is a wasteful number, since it uses less digits than its factorization.

213024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 213024240 is about 14595.3499444172. The cubic root of 213024240 is about 597.2319158221.

Adding to 213024240 its reverse (42420312), we get a palindrome (255444552).

The spelling of 213024240 in words is "two hundred thirteen million, twenty-four thousand, two hundred forty".