213332682240 has 480 divisors, whose sum is σ = 752283788256. Its totient is φ = 55862231040.

The previous prime is 213332682163. The next prime is 213332682293. The reversal of 213332682240 is 42286233312.

213332682240 is a `hidden beast` number, since 2 + 1 + 3 + 332 + 6 + 82 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×213332682240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 213332682195 and 213332682204.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 537361722 + ... + 537362118.

Almost surely, 2^213332682240 is an apocalyptic number.

213332682240 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 213332682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376141894128).

213332682240 is an abundant number, since it is smaller than the sum of its proper divisors (538951106016).

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

213332682240 is a wasteful number, since it uses less digits than its factorization.

213332682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 213332682240 in words is "two hundred thirteen billion, three hundred thirty-two million, six hundred eighty-two thousand, two hundred forty".