2883541584864 has 48 divisors (see below), whose sum is σ = 7591110283008. Its totient is φ = 958410544512.

The previous prime is 2883541584863. The next prime is 2883541584907. The reversal of 2883541584864 is 4684851453882.

It is a happy number.

2883541584864 is digitally balanced in base 2, because in such base 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 a junction number, because it is equal to n+sod(n) for n = 2883541584795 and 2883541584804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2883541584863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43247512 + ... + 43314135.

It is an arithmetic number, because the mean of its divisors is an integer number (158148130896).

Almost surely, 2^{2883541584864} is an apocalyptic number.

2883541584864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2883541584864 is an abundant number, since it is smaller than the sum of its proper divisors (4707568698144).

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

2883541584864 is a wasteful number, since it uses less digits than its factorization.

2883541584864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86562007 (or 86561999 counting only the distinct ones).

The product of its digits is 235929600, while the sum is 66.

The spelling of 2883541584864 in words is "two trillion, eight hundred eighty-three billion, five hundred forty-one million, five hundred eighty-four thousand, eight hundred sixty-four".