2681193973248 has 360 divisors, whose sum is σ = 9530983797192. Its totient is φ = 720992305152.

The previous prime is 2681193973201. The next prime is 2681193973261. The reversal of 2681193973248 is 8423793911862.

2681193973248 is a `hidden beast` number, since 2 + 68 + 119 + 397 + 32 + 48 = 666.

It is a super-2 number, since 2×2681193973248² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3489211 + ... + 4187717.

Almost surely, 2^{2681193973248} is an apocalyptic number.

2681193973248 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 2681193973248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765491898596).

2681193973248 is an abundant number, since it is smaller than the sum of its proper divisors (6849789823944).

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

2681193973248 is a wasteful number, since it uses less digits than its factorization.

2681193973248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698562 (or 698536 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 2681193973248 in words is "two trillion, six hundred eighty-one billion, one hundred ninety-three million, nine hundred seventy-three thousand, two hundred forty-eight".