2218553920 has 112 divisors (see below), whose sum is σ = 5784787008. Its totient is φ = 803727360.

The previous prime is 2218553917. The next prime is 2218553923. The reversal of 2218553920 is 293558122.

It is an interprime number because it is at equal distance from previous prime (2218553917) and next prime (2218553923).

It is a self number, because there is not a number n which added to its sum of digits gives 2218553920.

It is not an unprimeable number, because it can be changed into a prime (2218553923) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1079614 + ... + 1081666.

It is an arithmetic number, because the mean of its divisors is an integer number (51649884).

Almost surely, 2^2218553920 is an apocalyptic number.

2218553920 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 2218553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892393504).

2218553920 is an abundant number, since it is smaller than the sum of its proper divisors (3566233088).

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

2218553920 is a wasteful number, since it uses less digits than its factorization.

2218553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 2218553920 is about 47101.5277883850. The cubic root of 2218553920 is about 1304.2374390421.

The spelling of 2218553920 in words is "two billion, two hundred eighteen million, five hundred fifty-three thousand, nine hundred twenty".