215405350240 has 192 divisors, whose sum is σ = 523522621440. Its totient is φ = 83733350400.

The previous prime is 215405350231. The next prime is 215405350247. The reversal of 215405350240 is 42053504512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215405350247) 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, 211388451 + ... + 211389469.

It is an arithmetic number, because the mean of its divisors is an integer number (2726680320).

Almost surely, 2^215405350240 is an apocalyptic number.

215405350240 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 215405350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261761310720).

215405350240 is an abundant number, since it is smaller than the sum of its proper divisors (308117271200).

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

215405350240 is a wasteful number, since it uses less digits than its factorization.

215405350240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 215405350240 its reverse (42053504512), we get a palindrome (257458854752).

The spelling of 215405350240 in words is "two hundred fifteen billion, four hundred five million, three hundred fifty thousand, two hundred forty".