2826956000 has 192 divisors, whose sum is σ = 7744149504. Its totient is φ = 1005376000.

The previous prime is 2826955997. The next prime is 2826956063. The reversal of 2826956000 is 6596282.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2067317 + ... + 2068683.

It is an arithmetic number, because the mean of its divisors is an integer number (40334112).

Almost surely, 2^2826956000 is an apocalyptic number.

2826956000 is a gapful number since it is divisible by the number (20) 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 2826956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872074752).

2826956000 is an abundant number, since it is smaller than the sum of its proper divisors (4917193504).

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

2826956000 is a wasteful number, since it uses less digits than its factorization.

2826956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 2826956000 is about 53169.1263798833. The cubic root of 2826956000 is about 1413.9683323940.

The spelling of 2826956000 in words is "two billion, eight hundred twenty-six million, nine hundred fifty-six thousand".