2541063090384 has 600 divisors, whose sum is σ = 9223967518920. Its totient is φ = 669403865088.

The previous prime is 2541063090373. The next prime is 2541063090403. The reversal of 2541063090384 is 4830903601452.

2541063090384 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 0 + 630 + 9 + 0 + 3 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1114882574400 + 1426180515984 = 1055880^2 + 1194228^2 .

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 119 ways as a sum of consecutive naturals, for example, 1328312212 + ... + 1328314124.

Almost surely, 2^{2541063090384} is an apocalyptic number.

2541063090384 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 2541063090384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611983759460).

2541063090384 is an abundant number, since it is smaller than the sum of its proper divisors (6682904428536).

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

2541063090384 is a wasteful number, since it uses less digits than its factorization.

2541063090384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2541063090384 in words is "two trillion, five hundred forty-one billion, sixty-three million, ninety thousand, three hundred eighty-four".