2556758016 has 288 divisors, whose sum is σ = 7962252480. Its totient is φ = 788299776.

The previous prime is 2556757997. The next prime is 2556758033. The reversal of 2556758016 is 6108576552.

2556758016 is a `hidden beast` number, since 2 + 5 + 5 + 67 + 580 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15685551 + ... + 15685713.

It is an arithmetic number, because the mean of its divisors is an integer number (27646710).

Almost surely, 2^2556758016 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 2556758016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981126240).

2556758016 is an abundant number, since it is smaller than the sum of its proper divisors (5405494464).

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

2556758016 is a wasteful number, since it uses less digits than its factorization.

2556758016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 2556758016 is about 50564.3947457101. The cubic root of 2556758016 is about 1367.4030431232.

The spelling of 2556758016 in words is "two billion, five hundred fifty-six million, seven hundred fifty-eight thousand, sixteen".