2541405413420 has 48 divisors (see below), whose sum is σ = 5577444069120. Its totient is φ = 970888180416.

The previous prime is 2541405413399. The next prime is 2541405413429. The reversal of 2541405413420 is 243145041452.

It is a happy number.

It is a super-2 number, since 2×2541405413420² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2541405413429) 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 15 ways as a sum of consecutive naturals, for example, 3888662 + ... + 4494941.

It is an arithmetic number, because the mean of its divisors is an integer number (116196751440).

Almost surely, 2^{2541405413420} is an apocalyptic number.

2541405413420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541405413420 is an abundant number, since it is smaller than the sum of its proper divisors (3036038655700).

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

2541405413420 is a wasteful number, since it uses less digits than its factorization.

2541405413420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8384294 (or 8384292 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 2541405413420 in words is "two trillion, five hundred forty-one billion, four hundred five million, four hundred thirteen thousand, four hundred twenty".