2784640464872 has 32 divisors (see below), whose sum is σ = 6026166789120. Its totient is φ = 1181601326400.

The previous prime is 2784640464863. The next prime is 2784640464883.

2784640464872 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

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, 246161288 + ... + 246172599.

It is an arithmetic number, because the mean of its divisors is an integer number (188317712160).

Almost surely, 2^{2784640464872} is an apocalyptic number.

It is an amenable number.

2784640464872 is an abundant number, since it is smaller than the sum of its proper divisors (3241526324248).

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

2784640464872 is a wasteful number, since it uses less digits than its factorization.

2784640464872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492334001 (or 492333997 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 62.

The spelling of 2784640464872 in words is "two trillion, seven hundred eighty-four billion, six hundred forty million, four hundred sixty-four thousand, eight hundred seventy-two".