2501506560 has 640 divisors, whose sum is σ = 10056499200. Its totient is φ = 517570560.

The previous prime is 2501506559. The next prime is 2501506643. The reversal of 2501506560 is 656051052.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 31664601 + ... + 31664679.

It is an arithmetic number, because the mean of its divisors is an integer number (15713280).

Almost surely, 2^2501506560 is an apocalyptic number.

2501506560 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 2501506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028249600).

2501506560 is an abundant number, since it is smaller than the sum of its proper divisors (7554992640).

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

2501506560 is a wasteful number, since it uses less digits than its factorization.

2501506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 2501506560 is about 50015.0633309606. The cubic root of 2501506560 is about 1357.4813824185.

The spelling of 2501506560 in words is "two billion, five hundred one million, five hundred six thousand, five hundred sixty".