2826299267712 has 224 divisors, whose sum is σ = 8446124731860. Its totient is φ = 941630054400.

The previous prime is 2826299267657. The next prime is 2826299267719. The reversal of 2826299267712 is 2177629926282.

2826299267712 is a `hidden beast` number, since 2 + 82 + 6 + 299 + 267 + 7 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2751166264896 + 75133002816 = 1658664^2 + 274104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2826299267712.

It is not an unprimeable number, because it can be changed into a prime (2826299267719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 222169512 + ... + 222182232.

Almost surely, 2^{2826299267712} 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 2826299267712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223062365930).

2826299267712 is an abundant number, since it is smaller than the sum of its proper divisors (5619825464148).

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

2826299267712 is an equidigital number, since it uses as much as digits as its factorization.

2826299267712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15134 (or 15107 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 2826299267712 in words is "two trillion, eight hundred twenty-six billion, two hundred ninety-nine million, two hundred sixty-seven thousand, seven hundred twelve".