2505671758704 has 80 divisors (see below), whose sum is σ = 6534695502720. Its totient is φ = 827264229120.

The previous prime is 2505671758699. The next prime is 2505671758739. The reversal of 2505671758704 is 4078571765052.

2505671758704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 29443287 + ... + 29528265.

It is an arithmetic number, because the mean of its divisors is an integer number (81683693784).

Almost surely, 2^{2505671758704} is an apocalyptic number.

2505671758704 is a gapful number since it is divisible by the number (24) 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 2505671758704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267347751360).

2505671758704 is an abundant number, since it is smaller than the sum of its proper divisors (4029023744016).

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

2505671758704 is a wasteful number, since it uses less digits than its factorization.

2505671758704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90838 (or 90832 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 57.

The spelling of 2505671758704 in words is "two trillion, five hundred five billion, six hundred seventy-one million, seven hundred fifty-eight thousand, seven hundred four".