2561772246000 has 640 divisors, whose sum is σ = 9726088919040. Its totient is φ = 573540352000.

The previous prime is 2561772245987. The next prime is 2561772246017. The reversal of 2561772246000 is 6422771652.

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, 43992904 + ... + 44051096.

It is an arithmetic number, because the mean of its divisors is an integer number (15197013936).

Almost surely, 2^{2561772246000} is an apocalyptic number.

2561772246000 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 2561772246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863044459520).

2561772246000 is an abundant number, since it is smaller than the sum of its proper divisors (7164316673040).

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

2561772246000 is a wasteful number, since it uses less digits than its factorization.

2561772246000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58282 (or 58266 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 2561772246000 in words is "two trillion, five hundred sixty-one billion, seven hundred seventy-two million, two hundred forty-six thousand".