2506541460 has 48 divisors (see below), whose sum is σ = 7029758400. Its totient is φ = 667321344.

The previous prime is 2506541441. The next prime is 2506541473. The reversal of 2506541460 is 641456052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3396 + ... + 70884.

It is an arithmetic number, because the mean of its divisors is an integer number (146453300).

Almost surely, 2^2506541460 is an apocalyptic number.

2506541460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506541460 is an abundant number, since it is smaller than the sum of its proper divisors (4523216940).

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

2506541460 is a wasteful number, since it uses less digits than its factorization.

2506541460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68120 (or 68118 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 2506541460 is about 50065.3718651924. The cubic root of 2506541460 is about 1358.3915276192.

The spelling of 2506541460 in words is "two billion, five hundred six million, five hundred forty-one thousand, four hundred sixty".