213642240 has 176 divisors, whose sum is σ = 781331712. Its totient is φ = 48807936.

The previous prime is 213642229. The next prime is 213642257. The reversal of 213642240 is 42246312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 213642240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106527 + ... + 108513.

Almost surely, 2^213642240 is an apocalyptic number.

213642240 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 213642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390665856).

213642240 is an abundant number, since it is smaller than the sum of its proper divisors (567689472).

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

213642240 is a wasteful number, since it uses less digits than its factorization.

213642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 213642240 is about 14616.5057383767. The cubic root of 213642240 is about 597.8088970756.

Adding to 213642240 its reverse (42246312), we get a palindrome (255888552).

The spelling of 213642240 in words is "two hundred thirteen million, six hundred forty-two thousand, two hundred forty".