2238416156160 has 960 divisors, whose sum is σ = 8509742841600. Its totient is φ = 562344394752.

The previous prime is 2238416156159. The next prime is 2238416156177. The reversal of 2238416156160 is 616516148322.

2238416156160 is a `hidden beast` number, since 2 + 2 + 3 + 8 + 4 + 16 + 15 + 616 + 0 = 666.

2238416156160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2706669667 + ... + 2706670493.

It is an arithmetic number, because the mean of its divisors is an integer number (8864315460).

Almost surely, 2^{2238416156160} is an apocalyptic number.

2238416156160 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 2238416156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254871420800).

2238416156160 is an abundant number, since it is smaller than the sum of its proper divisors (6271326685440).

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

2238416156160 is an equidigital number, since it uses as much as digits as its factorization.

2238416156160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2238416156160 in words is "two trillion, two hundred thirty-eight billion, four hundred sixteen million, one hundred fifty-six thousand, one hundred sixty".