2681489775888 has 1200 divisors, whose sum is σ = 10006076375680. Its totient is φ = 678430494720.

The previous prime is 2681489775863. The next prime is 2681489775907. The reversal of 2681489775888 is 8885779841862.

2681489775888 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 489 + 7 + 7 + 58 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (3468165120) is a multiple of the sum of its prime divisors (512).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8734494231 + ... + 8734494537.

Almost surely, 2^{2681489775888} is an apocalyptic number.

2681489775888 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 2681489775888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003038187840).

2681489775888 is an abundant number, since it is smaller than the sum of its proper divisors (7324586599792).

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

2681489775888 is a wasteful number, since it uses less digits than its factorization.

2681489775888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 512 counting only the distinct ones).

The product of its digits is 3468165120, while the sum is 81.

The spelling of 2681489775888 in words is "two trillion, six hundred eighty-one billion, four hundred eighty-nine million, seven hundred seventy-five thousand, eight hundred eighty-eight".