2506104560 has 40 divisors (see below), whose sum is σ = 6133364880. Its totient is φ = 949681152.

The previous prime is 2506104553. The next prime is 2506104583. The reversal of 2506104560 is 654016052.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 822857 + ... + 825896.

It is an arithmetic number, because the mean of its divisors is an integer number (153334122).

Almost surely, 2^2506104560 is an apocalyptic number.

2506104560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506104560 is an abundant number, since it is smaller than the sum of its proper divisors (3627260320).

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

2506104560 is a wasteful number, since it uses less digits than its factorization.

2506104560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648785 (or 1648779 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 2506104560 is about 50061.0083797760. The cubic root of 2506104560 is about 1358.3125987108.

The spelling of 2506104560 in words is "two billion, five hundred six million, one hundred four thousand, five hundred sixty".