2826005472 has 144 divisors (see below), whose sum is σ = 8690939712. Its totient is φ = 867655680.

The previous prime is 2826005471. The next prime is 2826005509. The reversal of 2826005472 is 2745006282.

2826005472 is a `hidden beast` number, since 2 + 8 + 2 + 600 + 5 + 47 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2826005471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223972 + ... + 236252.

It is an arithmetic number, because the mean of its divisors is an integer number (60353748).

Almost surely, 2^2826005472 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 2826005472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345469856).

2826005472 is an abundant number, since it is smaller than the sum of its proper divisors (5864934240).

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

2826005472 is a wasteful number, since it uses less digits than its factorization.

2826005472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12361 (or 12350 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2826005472 is about 53160.1869071206. The cubic root of 2826005472 is about 1413.8098383395.

The spelling of 2826005472 in words is "two billion, eight hundred twenty-six million, five thousand, four hundred seventy-two".