217082040 has 128 divisors (see below), whose sum is σ = 751196160. Its totient is φ = 49158144.

The previous prime is 217082029. The next prime is 217082051. The reversal of 217082040 is 40280712.

It is an interprime number because it is at equal distance from previous prime (217082029) and next prime (217082051).

It is a super-3 number, since 3×217082040³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 217082040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93777 + ... + 96063.

It is an arithmetic number, because the mean of its divisors is an integer number (5868720).

Almost surely, 2^217082040 is an apocalyptic number.

217082040 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 217082040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375598080).

217082040 is an abundant number, since it is smaller than the sum of its proper divisors (534114120).

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

217082040 is a wasteful number, since it uses less digits than its factorization.

217082040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 217082040 is about 14733.7042185596. The cubic root of 217082040 is about 601.0002205604. Note that the first 3 decimals are identical.

The spelling of 217082040 in words is "two hundred seventeen million, eighty-two thousand, forty".