2826934656 has 384 divisors, whose sum is σ = 9556992000. Its totient is φ = 739694592.

The previous prime is 2826934631. The next prime is 2826934687. The reversal of 2826934656 is 6564396282.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 2826934599 and 2826934608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22259265 + ... + 22259391.

It is an arithmetic number, because the mean of its divisors is an integer number (24888000).

Almost surely, 2^2826934656 is an apocalyptic number.

2826934656 is a gapful number since it is divisible by the number (26) 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 2826934656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778496000).

2826934656 is an abundant number, since it is smaller than the sum of its proper divisors (6730057344).

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

2826934656 is a wasteful number, since it uses less digits than its factorization.

2826934656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 152 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 51.

The square root of 2826934656 is about 53168.9256615177. The cubic root of 2826934656 is about 1413.9647738177.

The spelling of 2826934656 in words is "two billion, eight hundred twenty-six million, nine hundred thirty-four thousand, six hundred fifty-six".