212078240 has 96 divisors (see below), whose sum is σ = 560105280. Its totient is φ = 75212800.

The previous prime is 212078233. The next prime is 212078267. The reversal of 212078240 is 42870212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70691 + ... + 73629.

It is an arithmetic number, because the mean of its divisors is an integer number (5834430).

Almost surely, 2^212078240 is an apocalyptic number.

212078240 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 212078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280052640).

212078240 is an abundant number, since it is smaller than the sum of its proper divisors (348027040).

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

212078240 is a wasteful number, since it uses less digits than its factorization.

212078240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 212078240 is about 14562.9063033448. The cubic root of 212078240 is about 596.3465396060.

The spelling of 212078240 in words is "two hundred twelve million, seventy-eight thousand, two hundred forty".