2826403721856 has 1024 divisors, whose sum is σ = 10379206656000. Its totient is φ = 744405811200.

The previous prime is 2826403721833. The next prime is 2826403721857. The reversal of 2826403721856 is 6581273046282.

2826403721856 is a `hidden beast` number, since 2 + 8 + 264 + 0 + 372 + 1 + 8 + 5 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2826403721857) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1699580481 + ... + 1699582143.

It is an arithmetic number, because the mean of its divisors is an integer number (10135944000).

Almost surely, 2^{2826403721856} is an apocalyptic number.

2826403721856 is a gapful number since it is divisible by the number (26) 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 2826403721856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189603328000).

2826403721856 is an abundant number, since it is smaller than the sum of its proper divisors (7552802934144).

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

2826403721856 is a wasteful number, since it uses less digits than its factorization.

2826403721856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2826403721856 in words is "two trillion, eight hundred twenty-six billion, four hundred three million, seven hundred twenty-one thousand, eight hundred fifty-six".