2783600640 has 280 divisors, whose sum is σ = 9991008720. Its totient is φ = 741408768.

The previous prime is 2783600623. The next prime is 2783600669. The reversal of 2783600640 is 460063872.

2783600640 is a `hidden beast` number, since 2 + 7 + 8 + 3 + 6 + 0 + 0 + 640 = 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 = 2783600595 and 2783600604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3317341 + ... + 3318179.

It is an arithmetic number, because the mean of its divisors is an integer number (35682174).

Almost surely, 2^2783600640 is an apocalyptic number.

2783600640 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 2783600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4995504360).

2783600640 is an abundant number, since it is smaller than the sum of its proper divisors (7207408080).

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

2783600640 is an frugal number, since it uses more digits than its factorization.

2783600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2783600640 is about 52759.8392719311. The cubic root of 2783600640 is about 1406.7026617425.

The spelling of 2783600640 in words is "two billion, seven hundred eighty-three million, six hundred thousand, six hundred forty".