2782868320 has 48 divisors (see below), whose sum is σ = 6579247248. Its totient is φ = 1112348160.

The previous prime is 2782868293. The next prime is 2782868327. The reversal of 2782868320 is 238682872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782868327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250075 + ... + 260965.

It is an arithmetic number, because the mean of its divisors is an integer number (137067651).

Almost surely, 2^2782868320 is an apocalyptic number.

2782868320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2782868320 is an abundant number, since it is smaller than the sum of its proper divisors (3796378928).

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

2782868320 is a wasteful number, since it uses less digits than its factorization.

2782868320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12503 (or 12495 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 2782868320 is about 52752.8986881290. The cubic root of 2782868320 is about 1406.5792907351.

The spelling of 2782868320 in words is "two billion, seven hundred eighty-two million, eight hundred sixty-eight thousand, three hundred twenty".