2505805120 has 336 divisors, whose sum is σ = 7880664960. Its totient is φ = 750145536.

The previous prime is 2505805111. The next prime is 2505805121. The reversal of 2505805120 is 215085052.

It is a super-3 number, since 3×2505805120³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505805121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3872637 + ... + 3873283.

It is an arithmetic number, because the mean of its divisors is an integer number (23454360).

Almost surely, 2^2505805120 is an apocalyptic number.

2505805120 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 2505805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940332480).

2505805120 is an abundant number, since it is smaller than the sum of its proper divisors (5374859840).

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

2505805120 is a wasteful number, since it uses less digits than its factorization.

2505805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The square root of 2505805120 is about 50058.0175396509. The cubic root of 2505805120 is about 1358.2584975729.

The spelling of 2505805120 in words is "two billion, five hundred five million, eight hundred five thousand, one hundred twenty".