2601273429504 has 240 divisors, whose sum is σ = 8053981855920. Its totient is φ = 837190287360.

The previous prime is 2601273429487. The next prime is 2601273429529. The reversal of 2601273429504 is 4059243721062.

2601273429504 is a `hidden beast` number, since 2 + 60 + 12 + 73 + 4 + 2 + 9 + 504 = 666.

2601273429504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2601273429504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3247584 + ... + 3968544.

It is an arithmetic number, because the mean of its divisors is an integer number (33558257733).

Almost surely, 2^{2601273429504} is an apocalyptic number.

2601273429504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2601273429504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026990927960).

2601273429504 is an abundant number, since it is smaller than the sum of its proper divisors (5452708426416).

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

2601273429504 is an frugal number, since it uses more digits than its factorization.

2601273429504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721023 (or 720995 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2601273429504 in words is "two trillion, six hundred one billion, two hundred seventy-three million, four hundred twenty-nine thousand, five hundred four".