2782482578667 has 32 divisors (see below), whose sum is σ = 4538969084160. Its totient is φ = 1670592749760.

The previous prime is 2782482578657. The next prime is 2782482578717. The reversal of 2782482578667 is 7668752842872.

It is a happy number.

2782482578667 is a `hidden beast` number, since 2 + 7 + 8 + 2 + 48 + 2 + 578 + 6 + 6 + 7 = 666.

It is not a de Polignac number, because 2782482578667 - 2⁸ = 2782482578411 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2782482578595 and 2782482578604.

It is not an unprimeable number, because it can be changed into a prime (2782482578657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43746858 + ... + 43810415.

It is an arithmetic number, because the mean of its divisors is an integer number (141842783880).

Almost surely, 2^{2782482578667} is an apocalyptic number.

2782482578667 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2782482578667 is a deficient number, since it is larger than the sum of its proper divisors (1756486505493).

2782482578667 is a wasteful number, since it uses less digits than its factorization.

2782482578667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87557400 (or 87557394 counting only the distinct ones).

The product of its digits is 1011548160, while the sum is 72.

The spelling of 2782482578667 in words is "two trillion, seven hundred eighty-two billion, four hundred eighty-two million, five hundred seventy-eight thousand, six hundred sixty-seven".