2783346048 has 192 divisors, whose sum is σ = 9184830720. Its totient is φ = 792529920.

The previous prime is 2783346037. The next prime is 2783346089. The reversal of 2783346048 is 8406433872.

2783346048 is a `hidden beast` number, since 2 + 7 + 8 + 3 + 34 + 604 + 8 = 666.

2783346048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-4 number, since 4×2783346048⁴ (a number of 39 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2783345994 and 2783346012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4410693 + ... + 4411323.

It is an arithmetic number, because the mean of its divisors is an integer number (47837660).

Almost surely, 2^2783346048 is an apocalyptic number.

2783346048 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 2783346048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592415360).

2783346048 is an abundant number, since it is smaller than the sum of its proper divisors (6401484672).

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

2783346048 is a wasteful number, since it uses less digits than its factorization.

2783346048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 2783346048 is about 52757.4264724882. The cubic root of 2783346048 is about 1406.6597741053.

The spelling of 2783346048 in words is "two billion, seven hundred eighty-three million, three hundred forty-six thousand, forty-eight".