2218651800 has 96 divisors (see below), whose sum is σ = 6965030400. Its totient is φ = 584138880.

The previous prime is 2218651789. The next prime is 2218651811. The reversal of 2218651800 is 81568122.

It is an interprime number because it is at equal distance from previous prime (2218651789) and next prime (2218651811).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23997 + ... + 70803.

It is an arithmetic number, because the mean of its divisors is an integer number (72552400).

Almost surely, 2^2218651800 is an apocalyptic number.

2218651800 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 2218651800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482515200).

2218651800 is an abundant number, since it is smaller than the sum of its proper divisors (4746378600).

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

2218651800 is a wasteful number, since it uses less digits than its factorization.

2218651800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46905 (or 46896 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 2218651800 is about 47102.5668090392. The cubic root of 2218651800 is about 1304.2566192360.

The spelling of 2218651800 in words is "two billion, two hundred eighteen million, six hundred fifty-one thousand, eight hundred".