217342028340 has 72 divisors (see below), whose sum is σ = 665671563648. Its totient is φ = 57395171520.

The previous prime is 217342028327. The next prime is 217342028353. The reversal of 217342028340 is 43820243712.

It is a happy number.

217342028340 is a `hidden beast` number, since 2 + 173 + 420 + 28 + 3 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (217342028327) and next prime (217342028353).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 217342028295 and 217342028304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5842896 + ... + 5879975.

It is an arithmetic number, because the mean of its divisors is an integer number (9245438384).

Almost surely, 2^217342028340 is an apocalyptic number.

217342028340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217342028340 is an abundant number, since it is smaller than the sum of its proper divisors (448329535308).

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

217342028340 is a wasteful number, since it uses less digits than its factorization.

217342028340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11722989 (or 11722984 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 217342028340 in words is "two hundred seventeen billion, three hundred forty-two million, twenty-eight thousand, three hundred forty".