2218991760 has 400 divisors, whose sum is σ = 8264203200. Its totient is φ = 550167552.

The previous prime is 2218991743. The next prime is 2218991767. The reversal of 2218991760 is 671998122.

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

It is not an unprimeable number, because it can be changed into a prime (2218991767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8248906 + ... + 8249174.

It is an arithmetic number, because the mean of its divisors is an integer number (20660508).

Almost surely, 2^2218991760 is an apocalyptic number.

2218991760 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 2218991760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132101600).

2218991760 is an abundant number, since it is smaller than the sum of its proper divisors (6045211440).

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

2218991760 is a wasteful number, since it uses less digits than its factorization.

2218991760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 2218991760 is about 47106.1753913433. The cubic root of 2218991760 is about 1304.3232321276.

The spelling of 2218991760 in words is "two billion, two hundred eighteen million, nine hundred ninety-one thousand, seven hundred sixty".