2561856192 has 168 divisors, whose sum is σ = 8459882496. Its totient is φ = 726050304.

The previous prime is 2561856179. The next prime is 2561856197. The reversal of 2561856192 is 2916581652.

2561856192 is a `hidden beast` number, since 2 + 561 + 85 + 6 + 1 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (2561856197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509563 + ... + 514565.

Almost surely, 2^2561856192 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 2561856192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229941248).

2561856192 is an abundant number, since it is smaller than the sum of its proper divisors (5898026304).

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

2561856192 is a wasteful number, since it uses less digits than its factorization.

2561856192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5155 (or 5142 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 2561856192 is about 50614.7823466623. The cubic root of 2561856192 is about 1368.3113070123.

It can be divided in two parts, 25618 and 56192, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 2561856192 in words is "two billion, five hundred sixty-one million, eight hundred fifty-six thousand, one hundred ninety-two".