2505056000 has 72 divisors (see below), whose sum is σ = 6240487344. Its totient is φ = 1002009600.

The previous prime is 2505055997. The next prime is 2505056023. The reversal of 2505056000 is 6505052.

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 7 ways as a sum of consecutive naturals, for example, 7142 + ... + 71141.

Almost surely, 2^2505056000 is an apocalyptic number.

2505056000 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 2505056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120243672).

2505056000 is an abundant number, since it is smaller than the sum of its proper divisors (3735431344).

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

2505056000 is an frugal number, since it uses more digits than its factorization.

2505056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78314 (or 78290 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 2505056000 is about 50050.5344626808. The cubic root of 2505056000 is about 1358.1231318961.

The spelling of 2505056000 in words is "two billion, five hundred five million, fifty-six thousand".