2561305830720 has 896 divisors, whose sum is σ = 10295681679360. Its totient is φ = 525028884480.

The previous prime is 2561305830709. The next prime is 2561305830749. The reversal of 2561305830720 is 270385031652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 942001521 + ... + 942004239.

It is an arithmetic number, because the mean of its divisors is an integer number (11490716160).

Almost surely, 2^{2561305830720} is an apocalyptic number.

2561305830720 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 2561305830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147840839680).

2561305830720 is an abundant number, since it is smaller than the sum of its proper divisors (7734375848640).

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

2561305830720 is a wasteful number, since it uses less digits than its factorization.

2561305830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 2561305830720 in words is "two trillion, five hundred sixty-one billion, three hundred five million, eight hundred thirty thousand, seven hundred twenty".