2546159616 has 832 divisors, whose sum is σ = 10568355840. Its totient is φ = 583925760.

The previous prime is 2546159597. The next prime is 2546159617. The reversal of 2546159616 is 6169516452.

2546159616 is a `hidden beast` number, since 2 + 5 + 46 + 1 + 596 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2546159617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110702581 + ... + 110702603.

Almost surely, 2^2546159616 is an apocalyptic number.

2546159616 is a gapful number since it is divisible by the number (26) 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 2546159616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284177920).

2546159616 is an abundant number, since it is smaller than the sum of its proper divisors (8022196224).

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

2546159616 is a wasteful number, since it uses less digits than its factorization.

2546159616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 2546159616 is about 50459.4848963007. The cubic root of 2546159616 is about 1365.5110174568.

The spelling of 2546159616 in words is "two billion, five hundred forty-six million, one hundred fifty-nine thousand, six hundred sixteen".