2784673248 has 48 divisors (see below), whose sum is σ = 8354021760. Its totient is φ = 795620736.

The previous prime is 2784673223. The next prime is 2784673259. The reversal of 2784673248 is 8423764872.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2784673248.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2071258 + ... + 2072601.

It is an arithmetic number, because the mean of its divisors is an integer number (174042120).

Almost surely, 2^2784673248 is an apocalyptic number.

2784673248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2784673248 is an abundant number, since it is smaller than the sum of its proper divisors (5569348512).

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

2784673248 is a wasteful number, since it uses less digits than its factorization.

2784673248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143879 (or 4143871 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 51.

The square root of 2784673248 is about 52770.0032973279. The cubic root of 2784673248 is about 1406.8833206521.

The spelling of 2784673248 in words is "two billion, seven hundred eighty-four million, six hundred seventy-three thousand, two hundred forty-eight".