215442242400 has 432 divisors, whose sum is σ = 880935616512. Its totient is φ = 44766796800.

The previous prime is 215442242387. The next prime is 215442242443. The reversal of 215442242400 is 4242244512.

215442242400 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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1979809 + ... + 2085791.

It is an arithmetic number, because the mean of its divisors is an integer number (2039202816).

Almost surely, 2^215442242400 is an apocalyptic number.

215442242400 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 215442242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440467808256).

215442242400 is an abundant number, since it is smaller than the sum of its proper divisors (665493374112).

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

215442242400 is a wasteful number, since it uses less digits than its factorization.

215442242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106035 (or 106011 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 215442242400 its reverse (4242244512), we get a palindrome (219684486912).

The spelling of 215442242400 in words is "two hundred fifteen billion, four hundred forty-two million, two hundred forty-two thousand, four hundred".