2782383264 has 48 divisors (see below), whose sum is σ = 8115287040. Its totient is φ = 927460800.

The previous prime is 2782383259. The next prime is 2782383299. The reversal of 2782383264 is 4623832872.

2782383264 is a `hidden beast` number, since 2 + 7 + 8 + 2 + 383 + 264 = 666.

2782383264 is digitally balanced in base 2 and base 4, because in such bases 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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1609312 + ... + 1611039.

It is an arithmetic number, because the mean of its divisors is an integer number (169068480).

Almost surely, 2^2782383264 is an apocalyptic number.

2782383264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2782383264 is an abundant number, since it is smaller than the sum of its proper divisors (5332903776).

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

2782383264 is a wasteful number, since it uses less digits than its factorization.

2782383264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220370 (or 3220356 counting only the distinct ones).

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

The square root of 2782383264 is about 52748.3010532093. The cubic root of 2782383264 is about 1406.4975633840.

The spelling of 2782383264 in words is "two billion, seven hundred eighty-two million, three hundred eighty-three thousand, two hundred sixty-four".