2505110500560 has 160 divisors (see below), whose sum is σ = 7816539709440. Its totient is φ = 663672738304.

The previous prime is 2505110500513. The next prime is 2505110500567. The reversal of 2505110500560 is 650050115052.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505110500567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79302529 + ... + 79334111.

It is an arithmetic number, because the mean of its divisors is an integer number (48853373184).

Almost surely, 2^{2505110500560} is an apocalyptic number.

2505110500560 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 2505110500560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3908269854720).

2505110500560 is an abundant number, since it is smaller than the sum of its proper divisors (5311429208880).

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

2505110500560 is a wasteful number, since it uses less digits than its factorization.

2505110500560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33745 (or 33739 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 30.

The spelling of 2505110500560 in words is "two trillion, five hundred five billion, one hundred ten million, five hundred thousand, five hundred sixty".