2826513648 has 180 divisors, whose sum is σ = 9231585480. Its totient is φ = 804964608.

The previous prime is 2826513611. The next prime is 2826513659. The reversal of 2826513648 is 8463156282.

2826513648 is a `hidden beast` number, since 28 + 265 + 1 + 364 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3591111 + ... + 3591897.

It is an arithmetic number, because the mean of its divisors is an integer number (51286586).

Almost surely, 2^2826513648 is an apocalyptic number.

2826513648 is a gapful number since it is divisible by the number (28) 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 2826513648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615792740).

2826513648 is an abundant number, since it is smaller than the sum of its proper divisors (6405071832).

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

2826513648 is a wasteful number, since it uses less digits than its factorization.

2826513648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1308 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2826513648 is about 53164.9663594364. The cubic root of 2826513648 is about 1413.8945776385.

The spelling of 2826513648 in words is "two billion, eight hundred twenty-six million, five hundred thirteen thousand, six hundred forty-eight".