2232288240 has 320 divisors, whose sum is σ = 8718775296. Its totient is φ = 459841536.

The previous prime is 2232288217. The next prime is 2232288259. The reversal of 2232288240 is 428822322.

It is a super-3 number, since 3×2232288240³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 937932 + ... + 940308.

Almost surely, 2^2232288240 is an apocalyptic number.

2232288240 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 2232288240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359387648).

2232288240 is an abundant number, since it is smaller than the sum of its proper divisors (6486487056).

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

2232288240 is a wasteful number, since it uses less digits than its factorization.

2232288240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 2232288240 is about 47247.0976886412. The cubic root of 2232288240 is about 1306.9232691712.

The spelling of 2232288240 in words is "two billion, two hundred thirty-two million, two hundred eighty-eight thousand, two hundred forty".