2588681382066 has 144 divisors (see below), whose sum is σ = 6304371315840. Its totient is φ = 766787748480.

The previous prime is 2588681382017. The next prime is 2588681382109. The reversal of 2588681382066 is 6602831868852.

It is a junction number, because it is equal to n+sod(n) for n = 2588681381994 and 2588681382012.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8573005 + ... + 8869823.

It is an arithmetic number, because the mean of its divisors is an integer number (43780356360).

Almost surely, 2^{2588681382066} is an apocalyptic number.

2588681382066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2588681382066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152185657920).

2588681382066 is an abundant number, since it is smaller than the sum of its proper divisors (3715689933774).

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

2588681382066 is a wasteful number, since it uses less digits than its factorization.

2588681382066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296961 (or 296945 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 2588681382066 in words is "two trillion, five hundred eighty-eight billion, six hundred eighty-one million, three hundred eighty-two thousand, sixty-six".