2506527888 has 80 divisors (see below), whose sum is σ = 6620975040. Its totient is φ = 816887808.

The previous prime is 2506527853. The next prime is 2506527929. The reversal of 2506527888 is 8887256052.

It is a super-3 number, since 3×2506527888³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2506527888.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437748 + ... + 443436.

It is an arithmetic number, because the mean of its divisors is an integer number (82762188).

Almost surely, 2^2506527888 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 2506527888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310487520).

2506527888 is an abundant number, since it is smaller than the sum of its proper divisors (4114447152).

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

2506527888 is a wasteful number, since it uses less digits than its factorization.

2506527888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5904 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The square root of 2506527888 is about 50065.2363222226. The cubic root of 2506527888 is about 1358.3890758846.

The spelling of 2506527888 in words is "two billion, five hundred six million, five hundred twenty-seven thousand, eight hundred eighty-eight".