213345052240 has 80 divisors (see below), whose sum is σ = 522475934400. Its totient is φ = 80793593856.

The previous prime is 213345052189. The next prime is 213345052243. The reversal of 213345052240 is 42250543312.

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

It is a super-2 number, since 2×213345052240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213345052243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2315371 + ... + 2405749.

It is an arithmetic number, because the mean of its divisors is an integer number (6530949180).

Almost surely, 2^213345052240 is an apocalyptic number.

213345052240 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 213345052240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261237967200).

213345052240 is an abundant number, since it is smaller than the sum of its proper divisors (309130882160).

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

213345052240 is a wasteful number, since it uses less digits than its factorization.

213345052240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91964 (or 91958 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 213345052240 its reverse (42250543312), we get a palindrome (255595595552).

The spelling of 213345052240 in words is "two hundred thirteen billion, three hundred forty-five million, fifty-two thousand, two hundred forty".