218219040 has 144 divisors (see below), whose sum is σ = 802023768. Its totient is φ = 53710848.

The previous prime is 218219003. The next prime is 218219041. The reversal of 218219040 is 40912812.

It can be written as a sum of positive squares in 4 ways, for example, as 160883856 + 57335184 = 12684^2 + 7572^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 218218995 and 218219013.

It is not an unprimeable number, because it can be changed into a prime (218219041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12892 + ... + 24548.

Almost surely, 2^218219040 is an apocalyptic number.

218219040 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 218219040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401011884).

218219040 is an abundant number, since it is smaller than the sum of its proper divisors (583804728).

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

218219040 is a wasteful number, since it uses less digits than its factorization.

218219040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11691 (or 11680 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 218219040 is about 14772.2388282887. The cubic root of 218219040 is about 602.0476704597.

The spelling of 218219040 in words is "two hundred eighteen million, two hundred nineteen thousand, forty".