2541238028784 has 1280 divisors, whose sum is σ = 9659381760000. Its totient is φ = 621063770112.

The previous prime is 2541238028779. The next prime is 2541238028807. The reversal of 2541238028784 is 4878208321452.

It is a happy number.

2541238028784 is a `hidden beast` number, since 2 + 54 + 1 + 238 + 0 + 287 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2541238028784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11097109182 + ... + 11097109410.

It is an arithmetic number, because the mean of its divisors is an integer number (7546392000).

Almost surely, 2^{2541238028784} is an apocalyptic number.

2541238028784 is a gapful number since it is divisible by the number (24) 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 2541238028784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829690880000).

2541238028784 is an abundant number, since it is smaller than the sum of its proper divisors (7118143731216).

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

2541238028784 is a wasteful number, since it uses less digits than its factorization.

2541238028784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 2541238028784 in words is "two trillion, five hundred forty-one billion, two hundred thirty-eight million, twenty-eight thousand, seven hundred eighty-four".