2826393696 has 288 divisors, whose sum is σ = 9699147360. Its totient is φ = 798336000.

The previous prime is 2826393677. The next prime is 2826393751. The reversal of 2826393696 is 6963936282.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 4275606 + ... + 4276266.

It is an arithmetic number, because the mean of its divisors is an integer number (33677595).

Almost surely, 2^2826393696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2826393696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4849573680).

2826393696 is an abundant number, since it is smaller than the sum of its proper divisors (6872753664).

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

2826393696 is a wasteful number, since it uses less digits than its factorization.

2826393696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 774 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 2826393696 is about 53163.8382361545. The cubic root of 2826393696 is about 1413.8745763338.

The spelling of 2826393696 in words is "two billion, eight hundred twenty-six million, three hundred ninety-three thousand, six hundred ninety-six".