2806824960 has 420 divisors, whose sum is σ = 10314527328. Its totient is φ = 732561408.

The previous prime is 2806824919. The next prime is 2806824973. The reversal of 2806824960 is 694286082.

2806824960 is a `hidden beast` number, since 2 + 80 + 6 + 82 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 59719657 + ... + 59719703.

Almost surely, 2^2806824960 is an apocalyptic number.

2806824960 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 2806824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157263664).

2806824960 is an abundant number, since it is smaller than the sum of its proper divisors (7507702368).

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

2806824960 is an frugal number, since it uses more digits than its factorization.

2806824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2806824960 is about 52979.4767811084. The cubic root of 2806824960 is about 1410.6039965504.

The spelling of 2806824960 in words is "two billion, eight hundred six million, eight hundred twenty-four thousand, nine hundred sixty".