214034240 has 224 divisors, whose sum is σ = 632033280. Its totient is φ = 67405824.

The previous prime is 214034237. The next prime is 214034273. The reversal of 214034240 is 42430412.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2000267 + ... + 2000373.

Almost surely, 2^214034240 is an apocalyptic number.

214034240 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 214034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316016640).

214034240 is an abundant number, since it is smaller than the sum of its proper divisors (417999040).

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

214034240 is a wasteful number, since it uses less digits than its factorization.

214034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 214034240 is about 14629.9090906266. The cubic root of 214034240 is about 598.1743021990.

Adding to 214034240 its reverse (42430412), we get a palindrome (256464652).

It can be divided in two parts, 2140 and 34240, that multiplied together give a square (73273600 = 8560²).

The spelling of 214034240 in words is "two hundred fourteen million, thirty-four thousand, two hundred forty".