2415228140160 has 640 divisors, whose sum is σ = 9444651321600. Its totient is φ = 583311974400.

The previous prime is 2415228140147. The next prime is 2415228140161. The reversal of 2415228140160 is 610418225142.

2415228140160 is a `hidden beast` number, since 2 + 4 + 1 + 522 + 81 + 40 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2415228140161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 154527226 + ... + 154542854.

It is an arithmetic number, because the mean of its divisors is an integer number (14757267690).

Almost surely, 2^{2415228140160} is an apocalyptic number.

2415228140160 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 2415228140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722325660800).

2415228140160 is an abundant number, since it is smaller than the sum of its proper divisors (7029423181440).

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

2415228140160 is a wasteful number, since it uses less digits than its factorization.

2415228140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15942 (or 15921 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 2415228140160 in words is "two trillion, four hundred fifteen billion, two hundred twenty-eight million, one hundred forty thousand, one hundred sixty".