2541415520000 has 720 divisors, whose sum is σ = 7415430052800. Its totient is φ = 851116032000.

The previous prime is 2541415519997. The next prime is 2541415520041. The reversal of 2541415520000 is 255141452.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 16187359922 + ... + 16187360078.

Almost surely, 2^{2541415520000} is an apocalyptic number.

2541415520000 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 2541415520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707715026400).

2541415520000 is an abundant number, since it is smaller than the sum of its proper divisors (4874014532800).

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

2541415520000 is an equidigital number, since it uses as much as digits as its factorization.

2541415520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The spelling of 2541415520000 in words is "two trillion, five hundred forty-one billion, four hundred fifteen million, five hundred twenty thousand".