2505174560 has 96 divisors (see below), whose sum is σ = 6809225472. Its totient is φ = 853171200.

The previous prime is 2505174557. The next prime is 2505174563. The reversal of 2505174560 is 654715052.

It is an interprime number because it is at equal distance from previous prime (2505174557) and next prime (2505174563).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2505174560.

It is not an unprimeable number, because it can be changed into a prime (2505174563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161714 + ... + 176526.

It is an arithmetic number, because the mean of its divisors is an integer number (70929432).

Almost surely, 2^2505174560 is an apocalyptic number.

2505174560 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 2505174560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404612736).

2505174560 is an abundant number, since it is smaller than the sum of its proper divisors (4304050912).

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

2505174560 is a wasteful number, since it uses less digits than its factorization.

2505174560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14986 (or 14978 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The square root of 2505174560 is about 50051.7188516039. The cubic root of 2505174560 is about 1358.1445574369.

The spelling of 2505174560 in words is "two billion, five hundred five million, one hundred seventy-four thousand, five hundred sixty".