2826843264 has 192 divisors, whose sum is σ = 9330584640. Its totient is φ = 804722688.

The previous prime is 2826843251. The next prime is 2826843287. The reversal of 2826843264 is 4623486282.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3200967 + ... + 3201849.

It is an arithmetic number, because the mean of its divisors is an integer number (48596795).

Almost surely, 2^2826843264 is an apocalyptic number.

2826843264 is a gapful number since it is divisible by the number (24) 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 2826843264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665292320).

2826843264 is an abundant number, since it is smaller than the sum of its proper divisors (6503741376).

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

2826843264 is a wasteful number, since it uses less digits than its factorization.

2826843264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1292 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 2826843264 is about 53168.0662051950. The cubic root of 2826843264 is about 1413.9495362929.

The spelling of 2826843264 in words is "two billion, eight hundred twenty-six million, eight hundred forty-three thousand, two hundred sixty-four".