2218195964160 has 720 divisors, whose sum is σ = 8691828026112. Its totient is φ = 535685529600.

The previous prime is 2218195964107. The next prime is 2218195964183. The reversal of 2218195964160 is 614695918122.

2218195964160 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 1 + 9 + 596 + 41 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2218195964097 and 2218195964106.

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 79 ways as a sum of consecutive naturals, for example, 309066492 + ... + 309073668.

Almost surely, 2^{2218195964160} is an apocalyptic number.

2218195964160 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 2218195964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345914013056).

2218195964160 is an abundant number, since it is smaller than the sum of its proper divisors (6473632061952).

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

2218195964160 is a wasteful number, since it uses less digits than its factorization.

2218195964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7492 (or 7469 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 2218195964160 in words is "two trillion, two hundred eighteen billion, one hundred ninety-five million, nine hundred sixty-four thousand, one hundred sixty".