2215440000 has 480 divisors, whose sum is σ = 8481613140. Its totient is φ = 552960000.

The previous prime is 2215439999. The next prime is 2215440001. The reversal of 2215440000 is 445122.

2215440000 is a `hidden beast` number, since 221 + 5 + 440 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2215439999) and next prime (2215440001).

It can be written as a sum of positive squares in 10 ways, for example, as 465523776 + 1749916224 = 21576^2 + 41832^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2215440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12239910 + ... + 12240090.

Almost surely, 2^2215440000 is an apocalyptic number.

2215440000 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 2215440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240806570).

2215440000 is an abundant number, since it is smaller than the sum of its proper divisors (6266173140).

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

2215440000 is a wasteful number, since it uses less digits than its factorization.

2215440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2215440000 is about 47068.4607778925. The cubic root of 2215440000 is about 1303.6269523929.

Adding to 2215440000 its reverse (445122), we get a palindrome (2215885122).

The spelling of 2215440000 in words is "two billion, two hundred fifteen million, four hundred forty thousand".