2581283208064 has 64 divisors (see below), whose sum is σ = 5740353780480. Its totient is φ = 1146024230400.

The previous prime is 2581283208061. The next prime is 2581283208071. The reversal of 2581283208064 is 4608023821852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2581283207999 and 2581283208017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2581283208061) by changing a digit.

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, 21256872 + ... + 21377959.

It is an arithmetic number, because the mean of its divisors is an integer number (89693027820).

Almost surely, 2^{2581283208064} is an apocalyptic number.

It is an amenable number.

2581283208064 is an abundant number, since it is smaller than the sum of its proper divisors (3159070572416).

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

2581283208064 is a wasteful number, since it uses less digits than its factorization.

2581283208064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42634899 (or 42634887 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

The spelling of 2581283208064 in words is "two trillion, five hundred eighty-one billion, two hundred eighty-three million, two hundred eight thousand, sixty-four".