2806056000 has 448 divisors, whose sum is σ = 11240536320. Its totient is φ = 679680000.

The previous prime is 2806055981. The next prime is 2806056007. The reversal of 2806056000 is 6506082.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2806056007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2375410 + ... + 2376590.

Almost surely, 2^2806056000 is an apocalyptic number.

2806056000 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 2806056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620268160).

2806056000 is an abundant number, since it is smaller than the sum of its proper divisors (8434480320).

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

2806056000 is a wasteful number, since it uses less digits than its factorization.

2806056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2806056000 is about 52972.2191341839. The cubic root of 2806056000 is about 1410.4751680538.

The spelling of 2806056000 in words is "two billion, eight hundred six million, fifty-six thousand".