2806605648 has 180 divisors, whose sum is σ = 9867361504. Its totient is φ = 728956800.

The previous prime is 2806605643. The next prime is 2806605661. The reversal of 2806605648 is 8465066082.

2806605648 is a `hidden beast` number, since 2 + 80 + 6 + 6 + 0 + 564 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2806605643) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 110463 + ... + 133473.

Almost surely, 2^2806605648 is an apocalyptic number.

2806605648 is a gapful number since it is divisible by the number (28) 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 2806605648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933680752).

2806605648 is an abundant number, since it is smaller than the sum of its proper divisors (7060755856).

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

2806605648 is a wasteful number, since it uses less digits than its factorization.

2806605648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23054 (or 23034 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2806605648 is about 52977.4069580609. The cubic root of 2806605648 is about 1410.5672562898.

The spelling of 2806605648 in words is "two billion, eight hundred six million, six hundred five thousand, six hundred forty-eight".