7218002440 has 128 divisors (see below), whose sum is σ = 18537361920. Its totient is φ = 2505932800.

The previous prime is 7218002437. The next prime is 7218002453. The reversal of 7218002440 is 442008127.

It is a junction number, because it is equal to n+sod(n) for n = 7218002399 and 7218002408.

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 31 ways as a sum of consecutive naturals, for example, 843624 + ... + 852136.

It is an arithmetic number, because the mean of its divisors is an integer number (144823140).

Almost surely, 2^7218002440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7218002440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9268680960).

7218002440 is an abundant number, since it is smaller than the sum of its proper divisors (11319359480).

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

7218002440 is a wasteful number, since it uses less digits than its factorization.

7218002440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8623 (or 8619 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 7218002440 is about 84958.8279109358. The cubic root of 7218002440 is about 1932.5867968537.

The spelling of 7218002440 in words is "seven billion, two hundred eighteen million, two thousand, four hundred forty".