2505553367280 has 320 divisors, whose sum is σ = 7995916228608. Its totient is φ = 648675901440.

The previous prime is 2505553367279. The next prime is 2505553367297. The reversal of 2505553367280 is 827633555052.

2505553367280 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 63 ways as a sum of consecutive naturals, for example, 1409989752 + ... + 1409991528.

Almost surely, 2^{2505553367280} is an apocalyptic number.

2505553367280 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 2505553367280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997958114304).

2505553367280 is an abundant number, since it is smaller than the sum of its proper divisors (5490362861328).

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

2505553367280 is a wasteful number, since it uses less digits than its factorization.

2505553367280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 51.

The spelling of 2505553367280 in words is "two trillion, five hundred five billion, five hundred fifty-three million, three hundred sixty-seven thousand, two hundred eighty".