2559854016 has 280 divisors, whose sum is σ = 8302605696. Its totient is φ = 776355840.

The previous prime is 2559853997. The next prime is 2559854029. The reversal of 2559854016 is 6104589552.

2559854016 is a `hidden beast` number, since 2 + 5 + 5 + 98 + 540 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2731500 + ... + 2732436.

Almost surely, 2^2559854016 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 2559854016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151302848).

2559854016 is an abundant number, since it is smaller than the sum of its proper divisors (5742751680).

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

2559854016 is a wasteful number, since it uses less digits than its factorization.

2559854016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 2559854016 is about 50594.9999110584. Note that the first 4 decimals coincide. The cubic root of 2559854016 is about 1367.9547538128.

The spelling of 2559854016 in words is "two billion, five hundred fifty-nine million, eight hundred fifty-four thousand, sixteen".