212970240 has 432 divisors, whose sum is σ = 892819200. Its totient is φ = 45785088.

The previous prime is 212970239. The next prime is 212970269. The reversal of 212970240 is 42079212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1532091 + ... + 1532229.

Almost surely, 2^212970240 is an apocalyptic number.

212970240 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 212970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446409600).

212970240 is an abundant number, since it is smaller than the sum of its proper divisors (679848960).

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

212970240 is a wasteful number, since it uses less digits than its factorization.

212970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 212970240 is about 14593.4999229109. The cubic root of 212970240 is about 597.1814469976.

The spelling of 212970240 in words is "two hundred twelve million, nine hundred seventy thousand, two hundred forty".