2601533055360 has 256 divisors, whose sum is σ = 8348453568000. Its totient is φ = 689066459136.

The previous prime is 2601533055287. The next prime is 2601533055361. The reversal of 2601533055360 is 635503351062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2601533055361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187436901 + ... + 187450779.

It is an arithmetic number, because the mean of its divisors is an integer number (32611146750).

Almost surely, 2^{2601533055360} is an apocalyptic number.

2601533055360 is a gapful number since it is divisible by the number (20) 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 2601533055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174226784000).

2601533055360 is an abundant number, since it is smaller than the sum of its proper divisors (5746920512640).

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

2601533055360 is a wasteful number, since it uses less digits than its factorization.

2601533055360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14553 (or 14541 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 39.

The spelling of 2601533055360 in words is "two trillion, six hundred one billion, five hundred thirty-three million, fifty-five thousand, three hundred sixty".