2505270570880 has 256 divisors, whose sum is σ = 7469105333760. Its totient is φ = 780644229120.

The previous prime is 2505270570877. The next prime is 2505270570889. The reversal of 2505270570880 is 880750725052.

It is a super-2 number, since 2×2505270570880² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505270570889) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 333276882 + ... + 333284398.

It is an arithmetic number, because the mean of its divisors is an integer number (29176192710).

Almost surely, 2^{2505270570880} is an apocalyptic number.

2505270570880 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 2505270570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734552666880).

2505270570880 is an abundant number, since it is smaller than the sum of its proper divisors (4963834762880).

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

2505270570880 is a wasteful number, since it uses less digits than its factorization.

2505270570880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14317 (or 14305 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 49.

The spelling of 2505270570880 in words is "two trillion, five hundred five billion, two hundred seventy million, five hundred seventy thousand, eight hundred eighty".