2783648 has 72 divisors (see below), whose sum is σ = 6808032. Its totient is φ = 1096704.

The previous prime is 2783647. The next prime is 2783657. The reversal of 2783648 is 8463872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2783647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64715 + ... + 64757.

It is an arithmetic number, because the mean of its divisors is an integer number (94556).

2^2783648 is an apocalyptic number.

2783648 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 2783648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404016).

2783648 is an abundant number, since it is smaller than the sum of its proper divisors (4024384).

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

2783648 is a wasteful number, since it uses less digits than its factorization.

2783648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 69 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 2783648 is about 1668.4268039084. The cubic root of 2783648 is about 140.6710639546.

The spelling of 2783648 in words is "two million, seven hundred eighty-three thousand, six hundred forty-eight".