2505646524 has 48 divisors (see below), whose sum is σ = 6229929888. Its totient is φ = 781068288.

The previous prime is 2505646513. The next prime is 2505646537. The reversal of 2505646524 is 4256465052.

It is a super-3 number, since 3×2505646524³ (a number of 29 digits) contains 333 as substring.

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, 7089 + ... + 71144.

It is an arithmetic number, because the mean of its divisors is an integer number (129790206).

Almost surely, 2^2505646524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505646524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114964944).

2505646524 is an abundant number, since it is smaller than the sum of its proper divisors (3724283364).

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

2505646524 is a wasteful number, since it uses less digits than its factorization.

2505646524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78414 (or 78412 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The square root of 2505646524 is about 50056.4333927219. The cubic root of 2505646524 is about 1358.2298415922.

The spelling of 2505646524 in words is "two billion, five hundred five million, six hundred forty-six thousand, five hundred twenty-four".