2582582137064 has 64 divisors (see below), whose sum is σ = 4894932019200. Its totient is φ = 1277347968000.

The previous prime is 2582582137013. The next prime is 2582582137067. The reversal of 2582582137064 is 4607312852852.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2582582136997 and 2582582137015.

It is not an unprimeable number, because it can be changed into a prime (2582582137067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664071632 + ... + 664075520.

It is an arithmetic number, because the mean of its divisors is an integer number (76483312800).

Almost surely, 2^{2582582137064} is an apocalyptic number.

It is an amenable number.

2582582137064 is a deficient number, since it is larger than the sum of its proper divisors (2312349882136).

2582582137064 is a wasteful number, since it uses less digits than its factorization.

2582582137064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6274 (or 6270 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 53.

The spelling of 2582582137064 in words is "two trillion, five hundred eighty-two billion, five hundred eighty-two million, one hundred thirty-seven thousand, sixty-four".