2654480480256 has 576 divisors, whose sum is σ = 8854045200000. Its totient is φ = 758516613120.

The previous prime is 2654480480219. The next prime is 2654480480287. The reversal of 2654480480256 is 6520840844562.

2654480480256 is a `hidden beast` number, since 2 + 6 + 544 + 8 + 0 + 48 + 0 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252826495 + ... + 252836993.

It is an arithmetic number, because the mean of its divisors is an integer number (15371606250).

Almost surely, 2^{2654480480256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2654480480256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427022600000).

2654480480256 is an abundant number, since it is smaller than the sum of its proper divisors (6199564719744).

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

2654480480256 is a wasteful number, since it uses less digits than its factorization.

2654480480256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10610 (or 10587 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 2654480480256 in words is "two trillion, six hundred fifty-four billion, four hundred eighty million, four hundred eighty thousand, two hundred fifty-six".