2541968412480 has 1568 divisors, whose sum is σ = 11035727691264. Its totient is φ = 544846528512.

The previous prime is 2541968412463. The next prime is 2541968412499. The reversal of 2541968412480 is 842148691452.

2541968412480 is a `hidden beast` number, since 2 + 54 + 19 + 68 + 41 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1990577602 + ... + 1990578878.

Almost surely, 2^{2541968412480} is an apocalyptic number.

2541968412480 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 2541968412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5517863845632).

2541968412480 is an abundant number, since it is smaller than the sum of its proper divisors (8493759278784).

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

2541968412480 is a wasteful number, since it uses less digits than its factorization.

2541968412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 2541968412480 in words is "two trillion, five hundred forty-one billion, nine hundred sixty-eight million, four hundred twelve thousand, four hundred eighty".