218039040 has 216 divisors, whose sum is σ = 783448848. Its totient is φ = 58060800.

The previous prime is 218039033. The next prime is 218039051. The reversal of 218039040 is 40930812.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 218038995 and 218039013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310690 + ... + 311390.

It is an arithmetic number, because the mean of its divisors is an integer number (3627078).

Almost surely, 2^218039040 is an apocalyptic number.

218039040 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 218039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391724424).

218039040 is an abundant number, since it is smaller than the sum of its proper divisors (565409808).

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

218039040 is an frugal number, since it uses more digits than its factorization.

218039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 218039040 is about 14766.1450622700. The cubic root of 218039040 is about 601.8820900554.

Adding to 218039040 its reverse (40930812), we get a palindrome (258969852).

The spelling of 218039040 in words is "two hundred eighteen million, thirty-nine thousand, forty".