7218282240 has 432 divisors, whose sum is σ = 27155095968. Its totient is φ = 1759739904.

The previous prime is 7218282217. The next prime is 7218282277. The reversal of 7218282240 is 422828127.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7218282195 and 7218282204.

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 47 ways as a sum of consecutive naturals, for example, 23512167 + ... + 23512473.

Almost surely, 2^7218282240 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 7218282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13577547984).

7218282240 is an abundant number, since it is smaller than the sum of its proper divisors (19936813728).

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

7218282240 is a wasteful number, since it uses less digits than its factorization.

7218282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 7218282240 is about 84960.4745749457. The cubic root of 7218282240 is about 1932.6117682501.

The spelling of 7218282240 in words is "seven billion, two hundred eighteen million, two hundred eighty-two thousand, two hundred forty".