2218291920 has 400 divisors, whose sum is σ = 8790843600. Its totient is φ = 513589248.

The previous prime is 2218291913. The next prime is 2218291931. The reversal of 2218291920 is 291928122.

It can be written as a sum of positive squares in 8 ways, for example, as 88284816 + 2130007104 = 9396^2 + 46152^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1431306 + ... + 1432854.

It is an arithmetic number, because the mean of its divisors is an integer number (21977109).

Almost surely, 2^2218291920 is an apocalyptic number.

2218291920 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 2218291920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395421800).

2218291920 is an abundant number, since it is smaller than the sum of its proper divisors (6572551680).

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

2218291920 is a wasteful number, since it uses less digits than its factorization.

2218291920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2218291920 is about 47098.7464801347. The cubic root of 2218291920 is about 1304.1860957387.

The spelling of 2218291920 in words is "two billion, two hundred eighteen million, two hundred ninety-one thousand, nine hundred twenty".