2561003073360 has 640 divisors, whose sum is σ = 9624580416000. Its totient is φ = 623688450048.

The previous prime is 2561003073331. The next prime is 2561003073361. The reversal of 2561003073360 is 633703001652.

2561003073360 is a `hidden beast` number, since 2 + 5 + 6 + 10 + 0 + 307 + 336 + 0 = 666.

2561003073360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561003073361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165506584 + ... + 165522056.

It is an arithmetic number, because the mean of its divisors is an integer number (15038406900).

Almost surely, 2^{2561003073360} is an apocalyptic number.

2561003073360 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 2561003073360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812290208000).

2561003073360 is an abundant number, since it is smaller than the sum of its proper divisors (7063577342640).

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

2561003073360 is a wasteful number, since it uses less digits than its factorization.

2561003073360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15660 (or 15648 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 2561003073360 in words is "two trillion, five hundred sixty-one billion, three million, seventy-three thousand, three hundred sixty".