217034240 has 80 divisors (see below), whose sum is σ = 551094192. Its totient is φ = 81690624.

The previous prime is 217034221. The next prime is 217034261. The reversal of 217034240 is 42430712.

217034240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×217034240² = 94207722664755200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41027 + ... + 46013.

Almost surely, 2^217034240 is an apocalyptic number.

217034240 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 217034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275547096).

217034240 is an abundant number, since it is smaller than the sum of its proper divisors (334059952).

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

217034240 is an equidigital number, since it uses as much as digits as its factorization.

217034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5027 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 217034240 is about 14732.0819981427. The cubic root of 217034240 is about 600.9561052583.

Adding to 217034240 its reverse (42430712), we get a palindrome (259464952).

The spelling of 217034240 in words is "two hundred seventeen million, thirty-four thousand, two hundred forty".