2575478016 has 216 divisors, whose sum is σ = 7759874304. Its totient is φ = 820592640.

The previous prime is 2575477979. The next prime is 2575478111. The reversal of 2575478016 is 6108745752.

2575478016 is a `hidden beast` number, since 2 + 575 + 4 + 78 + 0 + 1 + 6 = 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 23 ways as a sum of consecutive naturals, for example, 7642200 + ... + 7642536.

It is an arithmetic number, because the mean of its divisors is an integer number (35925344).

Almost surely, 2^2575478016 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 2575478016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879937152).

2575478016 is an abundant number, since it is smaller than the sum of its proper divisors (5184396288).

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

2575478016 is a wasteful number, since it uses less digits than its factorization.

2575478016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 2575478016 is about 50749.1676384943. The cubic root of 2575478016 is about 1370.7322024176.

The spelling of 2575478016 in words is "two billion, five hundred seventy-five million, four hundred seventy-eight thousand, sixteen".