213810240 has 112 divisors (see below), whose sum is σ = 775850112. Its totient is φ = 48869376.

The previous prime is 213810239. The next prime is 213810257. The reversal of 213810240 is 42018312.

213810240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9189 + ... + 22628.

Almost surely, 2^213810240 is an apocalyptic number.

213810240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213810240 is an abundant number, since it is smaller than the sum of its proper divisors (562039872).

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

213810240 is a wasteful number, since it uses less digits than its factorization.

213810240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31844 (or 31834 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 213810240 is about 14622.2515366136. The cubic root of 213810240 is about 597.9655539567.

Adding to 213810240 its reverse (42018312), we get a palindrome (255828552).

The spelling of 213810240 in words is "two hundred thirteen million, eight hundred ten thousand, two hundred forty".