2581122119688 has 256 divisors, whose sum is σ = 8667436953600. Its totient is φ = 695736138240.

The previous prime is 2581122119671. The next prime is 2581122119689. The reversal of 2581122119688 is 8869112211852.

2581122119688 is a `hidden beast` number, since 258 + 1 + 1 + 221 + 1 + 96 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2581122119689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2030283 + ... + 3047013.

It is an arithmetic number, because the mean of its divisors is an integer number (33857175600).

Almost surely, 2^{2581122119688} is an apocalyptic number.

2581122119688 is a gapful number since it is divisible by the number (28) 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 2581122119688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333718476800).

2581122119688 is an abundant number, since it is smaller than the sum of its proper divisors (6086314833912).

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

2581122119688 is a wasteful number, since it uses less digits than its factorization.

2581122119688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016849 (or 1016839 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 54.

The spelling of 2581122119688 in words is "two trillion, five hundred eighty-one billion, one hundred twenty-two million, one hundred nineteen thousand, six hundred eighty-eight".