2561434800336 has 160 divisors (see below), whose sum is σ = 7446445321600. Its totient is φ = 853420447872.

The previous prime is 2561434800269. The next prime is 2561434800343. The reversal of 2561434800336 is 6330084341652.

2561434800336 is a `hidden beast` number, since 2 + 561 + 4 + 3 + 4 + 80 + 0 + 3 + 3 + 6 = 666.

It is a super-4 number, since 4×2561434800336⁴ (a number of 51 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2561434800291 and 2561434800300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82110630 + ... + 82141818.

It is an arithmetic number, because the mean of its divisors is an integer number (46540283260).

Almost surely, 2^{2561434800336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561434800336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723222660800).

2561434800336 is an abundant number, since it is smaller than the sum of its proper divisors (4885010521264).

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

2561434800336 is an equidigital number, since it uses as much as digits as its factorization.

2561434800336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33565 (or 33541 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 2561434800336 in words is "two trillion, five hundred sixty-one billion, four hundred thirty-four million, eight hundred thousand, three hundred thirty-six".