2578160238192 has 240 divisors, whose sum is σ = 9084728540160. Its totient is φ = 663021504000.

The previous prime is 2578160238113. The next prime is 2578160238193. The reversal of 2578160238192 is 2918320618752.

2578160238192 is a `hidden beast` number, since 2 + 578 + 1 + 60 + 2 + 3 + 8 + 1 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578160238193) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 31192 + ... + 2270967.

It is an arithmetic number, because the mean of its divisors is an integer number (37853035584).

Almost surely, 2^{2578160238192} is an apocalyptic number.

2578160238192 is a gapful number since it is divisible by the number (22) 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 2578160238192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542364270080).

2578160238192 is an abundant number, since it is smaller than the sum of its proper divisors (6506568301968).

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

2578160238192 is a wasteful number, since it uses less digits than its factorization.

2578160238192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302292 (or 2302283 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2578160238192 in words is "two trillion, five hundred seventy-eight billion, one hundred sixty million, two hundred thirty-eight thousand, one hundred ninety-two".