213369240 has 256 divisors, whose sum is σ = 798336000. Its totient is φ = 44513280.

The previous prime is 213369239. The next prime is 213369257. The reversal of 213369240 is 42963312.

213369240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 213369198 and 213369207.

It is a congruent number.

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, 462610 + ... + 463070.

It is an arithmetic number, because the mean of its divisors is an integer number (3118500).

Almost surely, 2^213369240 is an apocalyptic number.

213369240 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 213369240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399168000).

213369240 is an abundant number, since it is smaller than the sum of its proper divisors (584966760).

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

213369240 is a wasteful number, since it uses less digits than its factorization.

213369240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 213369240 is about 14607.1639957933. The cubic root of 213369240 is about 597.5541543908.

The spelling of 213369240 in words is "two hundred thirteen million, three hundred sixty-nine thousand, two hundred forty".