2505709121920 has 256 divisors, whose sum is σ = 6262771032000. Its totient is φ = 957704601600.

The previous prime is 2505709121917. The next prime is 2505709121933. The reversal of 2505709121920 is 291219075052.

2505709121920 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 31 ways as a sum of consecutive naturals, for example, 1474813231 + ... + 1474814929.

Almost surely, 2^{2505709121920} is an apocalyptic number.

2505709121920 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 2505709121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131385516000).

2505709121920 is an abundant number, since it is smaller than the sum of its proper divisors (3757061910080).

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

2505709121920 is a wasteful number, since it uses less digits than its factorization.

2505709121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 43.

The spelling of 2505709121920 in words is "two trillion, five hundred five billion, seven hundred nine million, one hundred twenty-one thousand, nine hundred twenty".