2560672003148 has 48 divisors (see below), whose sum is σ = 5391087609600. Its totient is φ = 1039632926400.

The previous prime is 2560672003121. The next prime is 2560672003213. The reversal of 2560672003148 is 8413002760652.

2560672003148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2560672003148³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2560672003099 and 2560672003108.

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, 17643863 + ... + 17788401.

It is an arithmetic number, because the mean of its divisors is an integer number (112314325200).

Almost surely, 2^{2560672003148} is an apocalyptic number.

2560672003148 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2560672003148 is an abundant number, since it is smaller than the sum of its proper divisors (2830415606452).

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

2560672003148 is a wasteful number, since it uses less digits than its factorization.

2560672003148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177870 (or 177868 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 2560672003148 in words is "two trillion, five hundred sixty billion, six hundred seventy-two million, three thousand, one hundred forty-eight".