2218104000 has 672 divisors, whose sum is σ = 9461577216. Its totient is φ = 503884800.

The previous prime is 2218103989. The next prime is 2218104011. The reversal of 2218104000 is 4018122.

It is an interprime number because it is at equal distance from previous prime (2218103989) and next prime (2218104011).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13607919 + ... + 13608081.

It is an arithmetic number, because the mean of its divisors is an integer number (14079728).

Almost surely, 2^2218104000 is an apocalyptic number.

2218104000 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 2218104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730788608).

2218104000 is an abundant number, since it is smaller than the sum of its proper divisors (7243473216).

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

2218104000 is an equidigital number, since it uses as much as digits as its factorization.

2218104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2218104000 is about 47096.7514803304. The cubic root of 2218104000 is about 1304.1492671665.

The spelling of 2218104000 in words is "two billion, two hundred eighteen million, one hundred four thousand".