214042240 has 128 divisors (see below), whose sum is σ = 549918720. Its totient is φ = 79380480.

The previous prime is 214042219. The next prime is 214042247. The reversal of 214042240 is 42240412.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (214042247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1120545 + ... + 1120735.

It is an arithmetic number, because the mean of its divisors is an integer number (4296240).

Almost surely, 2^214042240 is an apocalyptic number.

214042240 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 214042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274959360).

214042240 is an abundant number, since it is smaller than the sum of its proper divisors (335876480).

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

214042240 is a wasteful number, since it uses less digits than its factorization.

214042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 214042240 is about 14630.1825005705. The cubic root of 214042240 is about 598.1817547991.

Adding to 214042240 its reverse (42240412), we get a palindrome (256282652).

The spelling of 214042240 in words is "two hundred fourteen million, forty-two thousand, two hundred forty".