2438125436160 has 1152 divisors, whose sum is σ = 9114337935360. Its totient is φ = 616633565184.

The previous prime is 2438125436099. The next prime is 2438125436171. The reversal of 2438125436160 is 616345218342.

2438125436160 is a `hidden beast` number, since 2 + 4 + 3 + 8 + 1 + 25 + 4 + 3 + 616 + 0 = 666.

2438125436160 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 (1152).

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 127 ways as a sum of consecutive naturals, for example, 10933297809 + ... + 10933298031.

It is an arithmetic number, because the mean of its divisors is an integer number (7911751680).

Almost surely, 2^{2438125436160} is an apocalyptic number.

2438125436160 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 2438125436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557168967680).

2438125436160 is an abundant number, since it is smaller than the sum of its proper divisors (6676212499200).

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

2438125436160 is a wasteful number, since it uses less digits than its factorization.

2438125436160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2438125436160 in words is "two trillion, four hundred thirty-eight billion, one hundred twenty-five million, four hundred thirty-six thousand, one hundred sixty".