2581068188160 has 3200 divisors, whose sum is σ = 12582278539776. Its totient is φ = 489223618560.

The previous prime is 2581068188141. The next prime is 2581068188173. The reversal of 2581068188160 is 618818601852.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2581068188097 and 2581068188106.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 10043066752 + ... + 10043067008.

Almost surely, 2^{2581068188160} is an apocalyptic number.

2581068188160 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 2581068188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291139269888).

2581068188160 is an abundant number, since it is smaller than the sum of its proper divisors (10001210351616).

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

2581068188160 is a wasteful number, since it uses less digits than its factorization.

2581068188160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 2581068188160 in words is "two trillion, five hundred eighty-one billion, sixty-eight million, one hundred eighty-eight thousand, one hundred sixty".