2230988760 has 768 divisors, whose sum is σ = 10038712320. Its totient is φ = 414720000.

The previous prime is 2230988723. The next prime is 2230988777. The reversal of 2230988760 is 678890322.

It is a super-3 number, since 3×2230988760³ (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14774685 + ... + 14774835.

It is an arithmetic number, because the mean of its divisors is an integer number (13071240).

Almost surely, 2^2230988760 is an apocalyptic number.

2230988760 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 2230988760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019356160).

2230988760 is an abundant number, since it is smaller than the sum of its proper divisors (7807723560).

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

2230988760 is a wasteful number, since it uses less digits than its factorization.

2230988760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2230988760 is about 47233.3437308857. The cubic root of 2230988760 is about 1306.6696205797.

The spelling of 2230988760 in words is "two billion, two hundred thirty million, nine hundred eighty-eight thousand, seven hundred sixty".