2505135863640 has 128 divisors (see below), whose sum is σ = 7559508902400. Its totient is φ = 664127493120.

The previous prime is 2505135863627. The next prime is 2505135863701. The reversal of 2505135863640 is 463685315052.

It is a self number, because there is not a number n which added to its sum of digits gives 2505135863640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14055724 + ... + 14232836.

It is an arithmetic number, because the mean of its divisors is an integer number (59058663300).

Almost surely, 2^{2505135863640} is an apocalyptic number.

2505135863640 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 2505135863640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779754451200).

2505135863640 is an abundant number, since it is smaller than the sum of its proper divisors (5054373038760).

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

2505135863640 is a wasteful number, since it uses less digits than its factorization.

2505135863640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177817 (or 177813 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 2505135863640 in words is "two trillion, five hundred five billion, one hundred thirty-five million, eight hundred sixty-three thousand, six hundred forty".