2218164480 has 576 divisors, whose sum is σ = 9218603520. Its totient is φ = 494567424.

The previous prime is 2218164461. The next prime is 2218164521. The reversal of 2218164480 is 844618122.

2218164480 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 1 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12821674 + ... + 12821846.

It is an arithmetic number, because the mean of its divisors is an integer number (16004520).

Almost surely, 2^2218164480 is an apocalyptic number.

2218164480 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 2218164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609301760).

2218164480 is an abundant number, since it is smaller than the sum of its proper divisors (7000439040).

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

2218164480 is a wasteful number, since it uses less digits than its factorization.

2218164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2218164480 is about 47097.3935584550. The cubic root of 2218164480 is about 1304.1611202673.

The spelling of 2218164480 in words is "two billion, two hundred eighteen million, one hundred sixty-four thousand, four hundred eighty".