2505493760 has 216 divisors, whose sum is σ = 7542261888. Its totient is φ = 780595200.

The previous prime is 2505493759. The next prime is 2505493777. The reversal of 2505493760 is 673945052.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1083005 + ... + 1085315.

Almost surely, 2^2505493760 is an apocalyptic number.

2505493760 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 2505493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771130944).

2505493760 is an abundant number, since it is smaller than the sum of its proper divisors (5036768128).

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

2505493760 is a wasteful number, since it uses less digits than its factorization.

2505493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 41.

The square root of 2505493760 is about 50054.9074517175. The cubic root of 2505493760 is about 1358.2022382254.

The spelling of 2505493760 in words is "two billion, five hundred five million, four hundred ninety-three thousand, seven hundred sixty".