213042540 has 96 divisors (see below), whose sum is σ = 629121024. Its totient is φ = 53786880.

The previous prime is 213042527. The next prime is 213042541. The reversal of 213042540 is 45240312.

213042540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213042541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86202 + ... + 88638.

It is an arithmetic number, because the mean of its divisors is an integer number (6553344).

Almost surely, 2^213042540 is an apocalyptic number.

213042540 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 213042540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314560512).

213042540 is an abundant number, since it is smaller than the sum of its proper divisors (416078484).

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

213042540 is a wasteful number, since it uses less digits than its factorization.

213042540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 213042540 is about 14595.9768429523. The cubic root of 213042540 is about 597.2490172110.

Adding to 213042540 its reverse (45240312), we get a palindrome (258282852).

The spelling of 213042540 in words is "two hundred thirteen million, forty-two thousand, five hundred forty".