2505648541300 has 72 divisors (see below), whose sum is σ = 5640858406400. Its totient is φ = 965054217600.

The previous prime is 2505648541289. The next prime is 2505648541313. The reversal of 2505648541300 is 31458465052.

It is a super-2 number, since 2×2505648541300² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1413939 + ... + 2647738.

Almost surely, 2^{2505648541300} is an apocalyptic number.

2505648541300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505648541300 is an abundant number, since it is smaller than the sum of its proper divisors (3135209865100).

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

2505648541300 is a wasteful number, since it uses less digits than its factorization.

2505648541300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061921 (or 4061914 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 2505648541300 in words is "two trillion, five hundred five billion, six hundred forty-eight million, five hundred forty-one thousand, three hundred".