2561834304000 has 720 divisors, whose sum is σ = 9583224609816. Its totient is φ = 683043840000.

The previous prime is 2561834303909. The next prime is 2561834304023. The reversal of 2561834304000 is 4034381652.

2561834304000 is a `hidden beast` number, since 2 + 5 + 6 + 183 + 430 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 912315343104 + 1649518960896 = 955152^2 + 1284336^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 419900950 + ... + 419907050.

Almost surely, 2^{2561834304000} is an apocalyptic number.

2561834304000 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 2561834304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791612304908).

2561834304000 is an abundant number, since it is smaller than the sum of its proper divisors (7021390305816).

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

2561834304000 is an frugal number, since it uses more digits than its factorization.

2561834304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158 (or 6111 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 2561834304000 its reverse (4034381652), we get a palindrome (2565868685652).

The spelling of 2561834304000 in words is "two trillion, five hundred sixty-one billion, eight hundred thirty-four million, three hundred four thousand".