2681191153872 has 1440 divisors, whose sum is σ = 10334877096960. Its totient is φ = 628450099200.

The previous prime is 2681191153871. The next prime is 2681191153877. The reversal of 2681191153872 is 2783511911862.

2681191153872 is a `hidden beast` number, since 2 + 6 + 8 + 11 + 91 + 1 + 538 + 7 + 2 = 666.

It is a super-3 number, since 3×2681191153872³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681191153871) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23727355288 + ... + 23727355400.

It is an arithmetic number, because the mean of its divisors is an integer number (7176997984).

Almost surely, 2^{2681191153872} is an apocalyptic number.

2681191153872 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 2681191153872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5167438548480).

2681191153872 is an abundant number, since it is smaller than the sum of its proper divisors (7653685943088).

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

2681191153872 is a wasteful number, since it uses less digits than its factorization.

2681191153872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 263 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 2681191153872 in words is "two trillion, six hundred eighty-one billion, one hundred ninety-one million, one hundred fifty-three thousand, eight hundred seventy-two".