2505330256 has 160 divisors (see below), whose sum is σ = 6189353856. Its totient is φ = 964608000.

The previous prime is 2505330221. The next prime is 2505330257. The reversal of 2505330256 is 6520335052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505330257) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1593951 + ... + 1595521.

Almost surely, 2^2505330256 is an apocalyptic number.

2505330256 is a gapful number since it is divisible by the number (26) 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 2505330256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094676928).

2505330256 is an abundant number, since it is smaller than the sum of its proper divisors (3684023600).

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

2505330256 is a wasteful number, since it uses less digits than its factorization.

2505330256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

The square root of 2505330256 is about 50053.2741786189. The cubic root of 2505330256 is about 1358.1726929739.

The spelling of 2505330256 in words is "two billion, five hundred five million, three hundred thirty thousand, two hundred fifty-six".