2573526816 has 480 divisors, whose sum is σ = 9206144640. Its totient is φ = 689762304.

The previous prime is 2573526803. The next prime is 2573526821. The reversal of 2573526816 is 6186253752.

2573526816 is a `hidden beast` number, since 2 + 573 + 5 + 2 + 68 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35253756 + ... + 35253828.

It is an arithmetic number, because the mean of its divisors is an integer number (19179468).

Almost surely, 2^2573526816 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 2573526816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603072320).

2573526816 is an abundant number, since it is smaller than the sum of its proper divisors (6632617824).

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

2573526816 is a wasteful number, since it uses less digits than its factorization.

2573526816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 2573526816 is about 50729.9400354465. The cubic root of 2573526816 is about 1370.3859562235.

The spelling of 2573526816 in words is "two billion, five hundred seventy-three million, five hundred twenty-six thousand, eight hundred sixteen".