2584138045664 has 36 divisors (see below), whose sum is σ = 5918137581384. Its totient is φ = 1107487733184.

The previous prime is 2584138045609. The next prime is 2584138045669. The reversal of 2584138045664 is 4665408314852.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2584138045669) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 824022044 + ... + 824025179.

It is an arithmetic number, because the mean of its divisors is an integer number (164392710594).

Almost surely, 2^{2584138045664} is an apocalyptic number.

It is an amenable number.

2584138045664 is an abundant number, since it is smaller than the sum of its proper divisors (3333999535720).

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

2584138045664 is a wasteful number, since it uses less digits than its factorization.

2584138045664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648047247 (or 1648047232 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 56.

The spelling of 2584138045664 in words is "two trillion, five hundred eighty-four billion, one hundred thirty-eight million, forty-five thousand, six hundred sixty-four".