2826747936 has 96 divisors (see below), whose sum is σ = 8272313280. Its totient is φ = 939091968.

The previous prime is 2826747887. The next prime is 2826747949. The reversal of 2826747936 is 6397476282.

2826747936 is a `hidden beast` number, since 2 + 82 + 67 + 479 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259920 + ... + 270576.

It is an arithmetic number, because the mean of its divisors is an integer number (86169930).

Almost surely, 2^2826747936 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 2826747936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136156640).

2826747936 is an abundant number, since it is smaller than the sum of its proper divisors (5445565344).

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

2826747936 is a wasteful number, since it uses less digits than its factorization.

2826747936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10983 (or 10969 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 2826747936 is about 53167.1697196682. The cubic root of 2826747936 is about 1413.9336421801.

The spelling of 2826747936 in words is "two billion, eight hundred twenty-six million, seven hundred forty-seven thousand, nine hundred thirty-six".