2689249102848 has 792 divisors, whose sum is σ = 10219579441344. Its totient is φ = 698471424000.

The previous prime is 2689249102843. The next prime is 2689249102877. The reversal of 2689249102848 is 8482019429862.

2689249102848 is a `hidden beast` number, since 2 + 6 + 89 + 2 + 491 + 0 + 28 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×2689249102848² (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 not an unprimeable number, because it can be changed into a prime (2689249102843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134110423 + ... + 134130473.

Almost surely, 2^{2689249102848} is an apocalyptic number.

2689249102848 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 2689249102848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109789720672).

2689249102848 is an abundant number, since it is smaller than the sum of its proper divisors (7530330338496).

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

2689249102848 is a wasteful number, since it uses less digits than its factorization.

2689249102848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20111 (or 20074 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 2689249102848 in words is "two trillion, six hundred eighty-nine billion, two hundred forty-nine million, one hundred two thousand, eight hundred forty-eight".