218042370 has 192 divisors, whose sum is σ = 708664320. Its totient is φ = 45287424.

The previous prime is 218042359. The next prime is 218042393. The reversal of 218042370 is 73240812.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 646842 + ... + 647178.

It is an arithmetic number, because the mean of its divisors is an integer number (3690960).

Almost surely, 2^218042370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218042370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354332160).

218042370 is an abundant number, since it is smaller than the sum of its proper divisors (490621950).

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

218042370 is a wasteful number, since it uses less digits than its factorization.

218042370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 218042370 is about 14766.2578197728. The cubic root of 218042370 is about 601.8851541200.

The spelling of 218042370 in words is "two hundred eighteen million, forty-two thousand, three hundred seventy".