212180340 has 96 divisors (see below), whose sum is σ = 607775616. Its totient is φ = 55296000.

The previous prime is 212180329. The next prime is 212180363. The reversal of 212180340 is 43081212.

212180340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845215 + ... + 845465.

It is an arithmetic number, because the mean of its divisors is an integer number (6330996).

Almost surely, 2^212180340 is an apocalyptic number.

212180340 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 212180340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303887808).

212180340 is an abundant number, since it is smaller than the sum of its proper divisors (395595276).

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

212180340 is a wasteful number, since it uses less digits than its factorization.

212180340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 212180340 is about 14566.4113631327. The cubic root of 212180340 is about 596.4422231824.

The spelling of 212180340 in words is "two hundred twelve million, one hundred eighty thousand, three hundred forty".