2218597920 has 864 divisors, whose sum is σ = 10164196224. Its totient is φ = 429834240.

The previous prime is 2218597897. The next prime is 2218597939. The reversal of 2218597920 is 297958122.

It is a happy number.

2218597920 is a `hidden beast` number, since 22 + 18 + 597 + 9 + 20 = 666.

It is a super-3 number, since 3×2218597920³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20734507 + ... + 20734613.

It is an arithmetic number, because the mean of its divisors is an integer number (11764116).

Almost surely, 2^2218597920 is an apocalyptic number.

2218597920 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 2218597920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5082098112).

2218597920 is an abundant number, since it is smaller than the sum of its proper divisors (7945598304).

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

2218597920 is a wasteful number, since it uses less digits than its factorization.

2218597920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2218597920 is about 47101.9948622136. The cubic root of 2218597920 is about 1304.2460611852.

The spelling of 2218597920 in words is "two billion, two hundred eighteen million, five hundred ninety-seven thousand, nine hundred twenty".