212088240 has 480 divisors, whose sum is σ = 914941440. Its totient is φ = 44209152.

The previous prime is 212088179. The next prime is 212088259. The reversal of 212088240 is 42880212.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2555239 + ... + 2555321.

It is an arithmetic number, because the mean of its divisors is an integer number (1906128).

Almost surely, 2^212088240 is an apocalyptic number.

212088240 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 212088240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457470720).

212088240 is an abundant number, since it is smaller than the sum of its proper divisors (702853200).

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

212088240 is a wasteful number, since it uses less digits than its factorization.

212088240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 212088240 is about 14563.2496373577. The cubic root of 212088240 is about 596.3559125174.

The spelling of 212088240 in words is "two hundred twelve million, eighty-eight thousand, two hundred forty".