2580428729664 has 112 divisors (see below), whose sum is σ = 7656880190400. Its totient is φ = 852104130048.

The previous prime is 2580428729653. The next prime is 2580428729677. The reversal of 2580428729664 is 4669278240852.

2580428729664 is a `hidden beast` number, since 2 + 5 + 8 + 0 + 4 + 287 + 296 + 64 = 666.

It is a super-3 number, since 3×2580428729664³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6793159 + ... + 7162950.

It is an arithmetic number, because the mean of its divisors is an integer number (68365001700).

Almost surely, 2^{2580428729664} is an apocalyptic number.

2580428729664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2580428729664 is an abundant number, since it is smaller than the sum of its proper divisors (5076451460736).

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

2580428729664 is a wasteful number, since it uses less digits than its factorization.

2580428729664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13956237 (or 13956221 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 2580428729664 in words is "two trillion, five hundred eighty billion, four hundred twenty-eight million, seven hundred twenty-nine thousand, six hundred sixty-four".