2428721160064 has 64 divisors (see below), whose sum is σ = 5172822851040. Its totient is φ = 1131831115776.

The previous prime is 2428721160037. The next prime is 2428721160079. The reversal of 2428721160064 is 4600611278242.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2428721160064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5194029 + ... + 5642284.

Almost surely, 2^{2428721160064} is an apocalyptic number.

It is an amenable number.

2428721160064 is an abundant number, since it is smaller than the sum of its proper divisors (2744101690976).

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

2428721160064 is a wasteful number, since it uses less digits than its factorization.

2428721160064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10836447 (or 10836435 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 2428721160064 in words is "two trillion, four hundred twenty-eight billion, seven hundred twenty-one million, one hundred sixty thousand, sixty-four".