2806448040 has 256 divisors, whose sum is σ = 10650009600. Its totient is φ = 650707200.

The previous prime is 2806448023. The next prime is 2806448069. The reversal of 2806448040 is 408446082.

2806448040 is a `hidden beast` number, since 2 + 8 + 0 + 644 + 8 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2806447986 and 2806448004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 268105 + ... + 278375.

It is an arithmetic number, because the mean of its divisors is an integer number (41601600).

Almost surely, 2^2806448040 is an apocalyptic number.

2806448040 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 2806448040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5325004800).

2806448040 is an abundant number, since it is smaller than the sum of its proper divisors (7843561560).

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

2806448040 is a wasteful number, since it uses less digits than its factorization.

2806448040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10325 (or 10315 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2806448040 is about 52975.9194351547. The cubic root of 2806448040 is about 1410.5408518148.

The spelling of 2806448040 in words is "two billion, eight hundred six million, four hundred forty-eight thousand, forty".