2218515000 has 320 divisors, whose sum is σ = 7725527040. Its totient is φ = 527040000.

The previous prime is 2218514981. The next prime is 2218515001. The reversal of 2218515000 is 5158122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2218515001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6044817 + ... + 6045183.

It is an arithmetic number, because the mean of its divisors is an integer number (24142272).

Almost surely, 2^2218515000 is an apocalyptic number.

2218515000 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 2218515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862763520).

2218515000 is an abundant number, since it is smaller than the sum of its proper divisors (5507012040).

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

2218515000 is a wasteful number, since it uses less digits than its factorization.

2218515000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 2218515000 is about 47101.1146364924. The cubic root of 2218515000 is about 1304.2298122696.

The spelling of 2218515000 in words is "two billion, two hundred eighteen million, five hundred fifteen thousand".