213002234480 has 160 divisors (see below), whose sum is σ = 598146716160. Its totient is φ = 68909184000.

The previous prime is 213002234479. The next prime is 213002234509. The reversal of 213002234480 is 84432200312.

213002234480 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2630762 + ... + 2710518.

It is an arithmetic number, because the mean of its divisors is an integer number (3738416976).

Almost surely, 2^213002234480 is an apocalyptic number.

213002234480 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 213002234480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299073358080).

213002234480 is an abundant number, since it is smaller than the sum of its proper divisors (385144481680).

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

213002234480 is a wasteful number, since it uses less digits than its factorization.

213002234480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80047 (or 80041 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 213002234480 its reverse (84432200312), we get a palindrome (297434434792).

The spelling of 213002234480 in words is "two hundred thirteen billion, two million, two hundred thirty-four thousand, four hundred eighty".