2206362240 has 224 divisors, whose sum is σ = 7909931700. Its totient is φ = 588238848.

The previous prime is 2206362229. The next prime is 2206362241. The reversal of 2206362240 is 422636022.

2206362240 is a `hidden beast` number, since 2 + 2 + 0 + 636 + 2 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1884949056 + 321413184 = 43416^2 + 17928^2 .

It is a super-3 number, since 3×2206362240³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2206362241) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 464196 + ... + 468924.

Almost surely, 2^2206362240 is an apocalyptic number.

2206362240 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 2206362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954965850).

2206362240 is an abundant number, since it is smaller than the sum of its proper divisors (5703569460).

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

2206362240 is an frugal number, since it uses more digits than its factorization.

2206362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2206362240 is about 46971.9303414284. The cubic root of 2206362240 is about 1301.8439788410.

Adding to 2206362240 its reverse (422636022), we get a palindrome (2628998262).

The spelling of 2206362240 in words is "two billion, two hundred six million, three hundred sixty-two thousand, two hundred forty".