2505711000 has 256 divisors, whose sum is σ = 8604610560. Its totient is φ = 603225600.

The previous prime is 2505710993. The next prime is 2505711031. The reversal of 2505711000 is 1175052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1832317 + ... + 1833683.

It is an arithmetic number, because the mean of its divisors is an integer number (33611760).

Almost surely, 2^2505711000 is an apocalyptic number.

2505711000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505711000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302305280).

2505711000 is an abundant number, since it is smaller than the sum of its proper divisors (6098899560).

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

2505711000 is a wasteful number, since it uses less digits than its factorization.

2505711000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 2505711000 is about 50057.0774216793. The cubic root of 2505711000 is about 1358.2414916095.

Adding to 2505711000 its reverse (1175052), we get a palindrome (2506886052).

The spelling of 2505711000 in words is "two billion, five hundred five million, seven hundred eleven thousand".