213052420240 has 320 divisors, whose sum is σ = 564935627520. Its totient is φ = 74042449920.

The previous prime is 213052420211. The next prime is 213052420279. The reversal of 213052420240 is 42024250312.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 613983747 + ... + 613984093.

It is an arithmetic number, because the mean of its divisors is an integer number (1765423836).

Almost surely, 2^213052420240 is an apocalyptic number.

213052420240 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 213052420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282467813760).

213052420240 is an abundant number, since it is smaller than the sum of its proper divisors (351883207280).

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

213052420240 is a wasteful number, since it uses less digits than its factorization.

213052420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 213052420240 its reverse (42024250312), we get a palindrome (255076670552).

The spelling of 213052420240 in words is "two hundred thirteen billion, fifty-two million, four hundred twenty thousand, two hundred forty".