2290218000 has 320 divisors, whose sum is σ = 8715632640. Its totient is φ = 506304000.

The previous prime is 2290217987. The next prime is 2290218011. The reversal of 2290218000 is 8120922.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1301121 + ... + 1302879.

It is an arithmetic number, because the mean of its divisors is an integer number (27236352).

Almost surely, 2^2290218000 is an apocalyptic number.

2290218000 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 2290218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357816320).

2290218000 is an abundant number, since it is smaller than the sum of its proper divisors (6425414640).

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

2290218000 is a wasteful number, since it uses less digits than its factorization.

2290218000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2290218000 is about 47856.2221659838. Note that the first 3 decimals coincide. The cubic root of 2290218000 is about 1318.1321147259.

Adding to 2290218000 its reverse (8120922), we get a palindrome (2298338922).

The spelling of 2290218000 in words is "two billion, two hundred ninety million, two hundred eighteen thousand".