217193004540 has 36 divisors (see below), whose sum is σ = 658818780984. Its totient is φ = 57918134496.

The previous prime is 217193004503. The next prime is 217193004551. The reversal of 217193004540 is 45400391712.

217193004540 is a `hidden beast` number, since 2 + 17 + 193 + 0 + 0 + 454 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×217193004540² (a number of 23 digits) contains 22 as substring.

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 = 217193004495 and 217193004504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 603313722 + ... + 603314081.

It is an arithmetic number, because the mean of its divisors is an integer number (18300521694).

Almost surely, 2^217193004540 is an apocalyptic number.

217193004540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217193004540 is an abundant number, since it is smaller than the sum of its proper divisors (441625776444).

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

217193004540 is a wasteful number, since it uses less digits than its factorization.

217193004540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206627818 (or 1206627813 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 217193004540 in words is "two hundred seventeen billion, one hundred ninety-three million, four thousand, five hundred forty".